How could've White avoid this loss? How could've Black done better?

Hallo, this will be my first game analysis from me to you guys. I'm not a good analyzer myself, so I need some of you guys to help me get better. Thank you!

Was there any move that I as black could've done better? Or how white can make his position better?

first you have  a draw vy repetition early on  mext you have a  draw ny perpetual after  31 ....R8c7??   He should play 31R3c7  abd u r in big trouble. Or u might try 31....Qb8+ which wuns his 1ueen.

28)..., Rxh3 looks interesting

Right, that leads to mate doesn't it...

How does 31)... Qb8 win white's queen?

Tempting, but the bishop and queen combination isn't enough to mate the king or gain advantage, I got a weak backrank myself too.

White should had challenged c5 instead of playing passively in the beginning; allowing you control the center so easily. Also despite White playing the not so great move 31. Bxf7, he instead should had played 32. Qxc7 in response to R8c7, allowing a follow-up capturing 33. Bxg7 threatening checkmate. Black, instead of 30. Kh8, you should had thought about trading Queens instead, since it allows you to get rid of a pesky piece.

Lol! I forgot about the mate! You were right about that, shouldn't have played the rook to fork!

And yea Kh8 was cheap as well, queen trade benefits me. 

Thanks a lot, stranger!