Get a compression tester meant for bikes, car testers work but the hoses are incorrect and will give lower readings because of increased hose diameter.
If compression is good, then I would spring for it.
The carbs will need to be cleaned, this is the biggest issue on hard starts and poor warm up, not balancing or synchronizing(the more used term).
Expect to spend some cash to replace or fix things though. It IS an old bike after all.
The ride IS the adventure. The destination is just to get gas!