White: London System (1 d4 2 Nf3 3 Bf4) or Torre Attack (1 d4 2 Nf3 3 Bg5)
Black: 1...c6 and then 2...d5 (i.e. Caro-Kann versus 1 e4 and Slav against everything else)
What are the 5 best solid openings?
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Petroff
Queen's Gambit Declined Orthodox Defense
English with an early fianchetto is another decent choice for white as well. Solid, and a good way to get opponents to pit their actual chess skills (minus opening memorization) against yours.
Looking at the OP's rating, I'd say the opening is going to help very little at this point. Just play what you are used to and try to make it a fun learning experience.
Probably the best advice you will receive. Have fun and good luck.
I don't win my games through good luck.
At your level (and mine as well) you are more likely to win a game because someone said you good luck than because of the opening.
You might study an opening because you have fun looking at the lines (I do) but don't expect to gain a single point from this until you have stopped blundering several times per game.