Tor is going to help you with privacy, but not really in terms of account security. Even if you use Tor on a device that's not yours, you're still screwed regardless if the device has a keylogger anyway.
Sure. I have never used computers that are not mine. I can stay away from crypto market for a while, one or two weeks but I will keep that rule. One bitcoin is always one bitcoin, and I don't lose any bitcoin if I am out of internet connections or my computers for weeks.