I would like to cover the walls with the mesh/screen stuff can someone tell me what that is lolol and how should I attach it to the wall a heavy duty stapler?

My only concerns are the chair,love seat, and baseboard heat that are in that room
Both chairs are leather or the probably the cheap version of leather lol and have seen better days I even sit here and pick pieces off so I know my gliders would Does anyone know if I could fix this with a fitted sheet? or would I be better off making my own covers for everything with a zipper so there is no chance they could get under the fabric to the actual chair or love seat? My main problem is how expensive the base bored and couch covers are I wouldn't spend 50-70 bucks on the base bored cover when it is only on one wall and I could use that 50-70 bucks for another stealth wheel does anyone know any cheap sites to get them from or verrrrry detailed instructions on how to do it myself lol any info is helpful!
p.s - We do not have a tv so there will be little to no wires if there are any I have told everyone else living here they need to be hidden or tacked to the wall or under the rug, outlets need to be covered when the gliders are in that room and no ashtrays or anything can be just left laying around
there cages are in my bedroom so when i take them out to play I would just bring them into the living room

The mesh I think you might be talking about is called plastic hardware cloth. Like this from Home Depot

You could actually cut strips the size to cover the the openings of the baseboard heater openings and use magnetic tape attached to the netting and place over the heater. But I wouldn't leave that on there all the time. I used to use a fleece throw to cover over my baseboard heater in my bathroom for during out of cage play only, and so had supervision to make sure not overheated. If you want something more permanent to cover, look into metal mesh for the heaters only, not for wall coverage.

As for the walls, I'm not sure the best way to attach it, maybe use velcro strips so it can be removed for cleaning.

I'm not sure about the furniture.