The information about what you own in game is held on the server so won’t be lost by you moving to a new PC. All that is held locally on the PC are things such as “what are the window positions?” “what are the graphics settings” and so forth. Stuff that doesn’t have value in game.
As others have said you’ll need to put your credentials (username/password/MFA code) into the launcher again, but that’s a one off process.