what are you looking for? An opening that is easy to understand and has a solid position or do you want an opening that performs well statistically?
Opening that don't lose much as white

what are you looking for? An opening that is easy to understand and has a solid position or do you want an opening that performs well statistically?
The first one with a rock solid position as white, with little chances of losing.
Here is a game between Anand and McShane. It illustrates one of the ideas of that Re1->e4 line. What I like about this variation that it is really solid with some chances for an kingside attack.
Another plan could be to play c3 and later push the a pawn to a6 to loosen up the queenside pawn formation by attacking the b7 pawn. This way your bishop and g2 will be able to unleash his power along the h1-a8 diagonal.
If your opponend plays a6 to prevent your pawn from entering a6 he weakens the b6 square, which is something. One possible plan is to play b4 preventing all queenside play from black and then concentrate your forces on the kingside again. Maybe with h4-h5 etc.
What I would also recommend is looking up the games from GM Radjabov. He played a lot of games in that Re1, e4 and c3 line. You will see the different plans and pawn structures in his games. The positions are really solid for white and it is hard to imagine that white could lose because good moves aren't hard to find. Even if you play inaccurate you still have an at least equal position.
Here is one of his games in the above mentioned variation against none other than the current World Cup Winner GM Aronian:
what are you looking for? An opening that is easy to understand and has a solid position or do you want an opening that performs well statistically?
The first one with a rock solid position as white, with little chances of losing.
You have to pick 1.e4, or 1.d4, or 1.c4, or 1.Nf3. All of them are suitable, and none is "better" than the other.
I think want lawceito wanted was not an opening that has good statistics which doesn't matter for us mere mortals anyway. But I think there are some positions that are easier to handle for people whose knowledge isn't as big as the ones of masters or much stronger players.
I think the line above is a good starting point to learn various concepts.

Lawkeito, your request for "one with a rock solid position as white, with little chances of losing." Is an impossible task. If such an opening existed white would play it all the time. The fact that black wins close to half of the games is proof that opening doesn't exist. The system you know the best is the one in which you are least likely to make a mistake. But the system you want to play is the one in which the other player is much more likely than you to make a mistake. But we who are not professional do not have the time to study all of our opponents enough to know their weaknesses while also studying our own games enough to really know our own strengths and weaknesses. I find it is more fun just to play.
Wow, great posts and tips, thank you very much guys !!!
I guess I have a lot to test
You're welcome Keep in mind that my advice was only a suggestion. You might enjoy other types of positions. Also it could benefit you after playing a certain opening for a while to switch openings to learn something new to broaden your horizon.
Like pfren said it doesn't matter which move you choose first. It just have to fit your style and you have to enjoy the opening you choose. I think this is the most important thing as a non-professional.
Only do things you enjoy. We aren't obligated to learn the ins and outs of the najdorf or of the complex berlin ending. Kramnik himselfs said he preferred to play a full game but he has to prepare for those lines because he can't risk much in the opening as a professional player.
Thats why I recommend to switch openings from time to time, to learn new strategies, openings etc.
While it is perfectly fine to stick to one opening your entire life e.g. london system and be successful with it I think you will be missing out a lot of the beauty chess has to offer. While winning is also important for me it isn't my primary goal. I want to learn chess in it's entirety. Whenever I see a beautiful or play a beautiful game myself I get really excited. While it is possible to play beautiful games in the london system, it is much more fun to play different kind of positions because you will encounter new kind of strategies and tactics.
I know one player from chess club who always play the colle-zuckertort- that queens pawn opening with the bishops on d3 and b2. He plays it all the time in every game. I think he has become numb to the subtleties of the position by playing automatic moves and kingside attacks.
A training plan is a fine thing but don't forget that you play chess a hobby.
TLDR; Switch openings after you feel comfortable playing them to learn new things and benefit from your experiences in the previous openings. While not neglecting basic tactical training and other stuff like basic endgames you shouldn't forget that you want to have fun. By changing things once in a while you keep things fresh. This is what kept me playing chess for some years otherwise I would be bored to death by playing the same opening over and over again.
But don't take my advice too seriously, more like an inspiration, while I think that I'm not a weak player I'm still a patzer. Have fun and all the best, nurversage
About my statement in comment #7. I was exaggerating a little bit. What I wanted to say that I'm really comfortable playing positions like that because having a space advantage offers you a lot of options.
Also I think that you have to be more precise in positions with a lack of space than in positions with a lot of space. This is at least my experience.

I actually heard this advice of experimenting different openings from time to time before, and it seems to be a very interesting idea, to keep things fresh and the love of the game alive.
For us amateurs, chess is a passion after all.

I actually heard this advice of experimenting different openings from time to time before, and it seems to be a very interesting idea, to keep things fresh and the love of the game alive.
For us amateurs, chess is a passion after all.
What about learning ONE simple opening as White, and Black properly? Does not matter which one, as far as it's sound... and it's less than easy to master even the simplest of openings- it requires some serious work.
Whatever room for improvement is in there.
I'm doing the step method, and I plan to start studying openings when they recommend (mid of step 6 - I'm now on step 4) If I ever get there. I'm just collecting the ideas and insights from forum. I plan to study only one opening at a time and change to another when I master it.
But that's too far ahead, one step at a time.
I'm an e4 player, but considering change to d4 or 1.Nf3 because of a high number of losses as white.
In the databases, it's pretty hard to win against 1.d4 and 1.Nf3, but which to choose ?
PS: I don't mind draws at all.