When to trade pieces?
If I had to make up a rule for trading, it would be something like:
"don't trade away your most active pieces if it leaves you with passive pieces"
(and yes, in chess lingo "piece" means knight, bishop, rook or queen. A pawn is not a piece)
Using this rule of thumb to answer your question, if you're ahead material, and none of your pieces are passive, then it will probably be beneficial to make equal piece trades at every opportunity.
That's sort of like saying "you shouldn't castle during the first 15 moves of the game just because you can"
Sure, that's true, but 99 out of 100 times it's good to castle, so don't lose sight of good advice just because someone is reminding you there are exceptions to the rules. Rules of thumb are good in most cases. Worry about exceptions when you start losing games due to exceptions.
Yeah, just ignore the idea a bishop is worth more than a knight.
Remember there are openings where as early as move 5 even top grandmasters will trade their bishop for their opponent's knight.
Yes sometimes a bishop is worth more, but this is such a slight advantage, we're talking small fractions of the value of a pawn. Like 1/5th of a pawn. I don't even consider it while playing.
Remember some knights are worth more than other knights. Some bishops are worth more than other bishops. The true value of a piece during a game fluctuates from move to move and depends on things like how many squares it influences, if it's centralized, if it's helping attack or defend an important point, things like this.
Sometimes, yeah.
Especially very early in the game rooks are not worth very much, so in a dynamic position with lots of tactics and initiative and an open king, etc, you probably shouldn't take the rook in the corner. It will just be a wasted tempo to take a passive piece
But if the position doesn't have a lot of dynamism going on, then winning material is an easy way to be ahead.
There are all kinds of guidelines:
1) Trade when you are ahead in material.
2) Avoid trading when behind in material.
3) Trade when your opponent has a space advantage.
4) Avoid trading when your opponent has a space disadvantage.
5) Trade when you can trade a passive piece for an active piece.
6) Avoid trading an active piece for a passive piece.
And the list goes on. These are certainly things to keep in mind. But the tactical realities of a position have to be considered as well. The bottom line is you can't turn your brain off and just go by platitudes. Guidelines are just that, guidelines. Sometimes (often) they work. Sometimes they don't. And sometimes it is very unclear whether trading a piece makes good sense or not.
In my last daily game, I was able to trade a knight for a bishop getting the bishop pair (often considered to be about 1/2 a pawn. On the other hand, doing so opened up a file where my opponent was able to get a lot of pressure. I decided to take, and I won the game. When analyzed with a computer afterwards, the computer agreed with taking. I don't know if I would do it again. I had to defend very accurately as a result.
You make your best judgement. You live with the results.
If the computer is marking the order you are trading pieces as a mistake, then there is a tactical reason why you should not have done it in that order. Either you could have won material by doing it differently, or you potentially could have lost material with your order.
Those tactical reasons are going to be specific to the position. The best advice I can give is do tactics puzzles.
You shouldn't trade an ACTIVE Bishop for a PASSIVE Knight.
You need to think about it from your opponents perspective, are you improving his position or making it harder to play. You don't want to improve it unless it's very marginal, you allow them to create complications or even. a winning attack