I have done this and it's easier and cheaper than you may expect.
Once you've taken the bass apart and have the body in hand, give it a good going over with 400 grit wet and dryto let your new colour have a good key to adhere to. Wipe clean and let dry.
Couple of cans of cellulose colour finish from Rothko and Frost (their solid colours require no clear Coatπ)
If you've never sprayed anything before, just get yourself on YouTube, plenty of step by step advice there.
Cost you about 40 quid.