https://www.chess.com/game/live/27659364447 Flipped the board to view it from your side.
You only spent 10 seconds on the move and didn't look for all of the pieces currently under attack before moving. So two suggestions.
1. Slow down. If you need to, play a slower time control, exiting 10-0 and going to 15-10 worked for me. Give yourself time to check for the obvious stuff first.
2. Look for all of the checks and captures on the board. There are only so many of those. Nice attacking ideas are also a staple of tactics, but you add to that list you move along. If you observe all of the pieces currently under attack then you've observed all of the hanging pieces within that group. The checks also tend to be big for tactical ideas/free material, etc. It takes time to do that each move, hence the first piece of advice mentioning to slow down your time control.
It's not a bad idea to see all of the checks/captures that will be available on your opponent's side as a result of the move you made as well. Just try to make a habit of getting as much of that as you can in.
a simple way to avoid hanging your pieces is to ask 2 questions before moving a piece.
1. What is this piece doing? (What is this guarding? If a rook on the back rank is all thats keeping you from back rank checkmate, don't move it)
Are all my pieces guarded?
At the start of the game, no chess piece is hanging.
Remember, a piece is only hanging if your opponent can attack it. your pawn can be surrounded by 1 million dark squared bishops but it's safe on a light square
Whenever they make a move, look at the squares it used to guard.