How would you handle this position with the king exposed?

In this game, I have one specific question, but it assumes you wouldn't play an early h6 to prevent white's bishop from pinning. I like to welcome this because it ties down their bishop and I can make a different move other than h6. So that is what happened in this game. If you can look past this stage of the game, my real question lies in where to place the king after the pawns are taken. It would be from move 10 where king can now go to g7 on move 14. Here is where the king can go onto an open file, or it can go where I played it by starting an offensive and bringing a rook to that same open file. Here we have a couple choices, instead Nd4 could have been played. I didn't consider this at all. My attention was on the other knight. Luckily, white misplayed it, and I got a free rook out of the deal.

What would you have done as black here? From 10-14 and afterwards.