This whole setup came out of the backing so I’d like to replace the whole thing but I don’t have pipes, the supply line is hoses so I’m not sure what kind of valve I need to look at.
There are already good answers to your stated question. Have you thought of just reattaching it to the wall? I don't imagine that is a valve you manipulate often. You could just glue it back on there or screw it in and caulk it. Changing it won't be bad though if you either have a Plex cutter and crimper or use shark bite fittings. No matter how fast you think you'll be, it is still a good idea to shut off the water before changing the valve.