I had a flying squirrel in the eaves of my attic in a house that I am completely renovating in Pennsylvania. The first time I saw him he was hanging on a wall just staring at me. I gave him a face full of hornet spray. That did not make him move out. I then placed a lit lightbulb in the nest area, and added some cut up Irish Spring bar soap. I heard that they (and I) hate it. The activity was greatly reduced.
Then one evening I was watching TV about 11pm and saw him on a stud at the ceiling in my living room (also under renovation). I got up and loaded my 22 cal rifle with a cartridge that my neighbor gave me. It is known as snake shot. This is actually just a .22 short with very tiny pellets, kind like a tiny shot gun shell. I shot him and that was the end of the problem. Basically, I'd say that shooting is best, and maybe backed up by the Irish Spring and light bulb. Good luck.
We use a live trap, baited w/peanuts. When the trap trips, I carry it intothe garage, & place the trap in a large plastic bag. I fold over the end of the bag and gently discharge a CO2 Fire Extinguisher in the bag. The squirrel genlty goes to sleep. The tree rat is put in the dumpster and the trap baited again.
We used to use an air rifle, but they did not always die quickly.