It is not obvious to me that pushing d5 is what is needed to make progress in this position.
White is 1 pawn ahead. I like 1 BxN, N x B if you follow up with 2 N-b5 with idea of trying to force Black to exchange Rooks. If then 2....a6, 3 N-d6. When you can get an edge in position with your 1 pawn advantage, you will be closer to a win. Still requires good technique.
I think creating a passed b pawn is a better goal.
Creating a passed d pawn with so many pieces on the board could lead it it being a weakness rather than an asset. To give up the bishop pair to do so I don't like.
But then that's instinct and concrete moves will be more important.
White should play d5 immediately.
There's no need for BxN.
and if exd5?
White should play d5 immediately.
There's no need for BxN.
and if exd5?
1.d5 exd5 2.Nd4 and bleck will collapse quickly.
Hint: black's Be7 is the main target.
the idea behind that is Nd4
Yeah I see Be6 (or Bg6) Nc6. Not 100% convinced though, but maybe because my visualisation needs improvement.
1.Bxd7 Nxd7 2.d5 and if black has to capture the pawn it's very nice. But for example 2...Bf6 and the bishops raking your queenside gives him some compensation for the pawn.
You have space, a pair of bishops, and a queenside majority. It'd try to keep those and just improve my position.
1.d5 e5 2.Bg3 Bd6 3.f4 is the computer's choice. You get a passed, but isolated d pawn. It looks nice but these aren't always easy to evaluate. If this were the only good idea, I'd go for it, but honestly in this position I'd probably just try to improve my pieces (f1 rook and e2 knight aren't really working yet) and be a safe and solid pawn up.
I don't make this kind of trade in my games often but in this position I thought it was a good idea.
The idea is 1.Bxd7 Nxd7 2.d5 when White will get a passed pawn or active play against Black's position. I didn't calculate everything but it seemed like I could take advantage of Black's passive pieces for that one turn and get a good attack. But I'm not sure if this idea is completely sound here.