I wore bras when I was presenting as female, only when I was very young. Sports bras (the ones with no cups, usually for jogging) can be tossed in the washer and the dryer with no problem. However, I assume that you mean cup bras. Ones with metal in them, you don't want to put in the washing machine. You can spot wash them, but if you really want to get it clean, I would suggest soaking/ manipulating in a sink full of water and laundry soap (like a washing machine) then rinse well and hang dry. Washers and driers will cause them to get holes and the metal pieces around the cups to come out/ scratch you.
I hope that helps!