To be honest a bearing puller is a very high investment for a thing you do not use often and the job can also be done without it.

what you need:
- Indeed a good plug wrench
- a good solid and long screwdriver to tune the carburator.
- Tools to mount a clutch (fly wheel grip, wrench for the nut and maybe a tool for mounting the shoes)
- The right tools to open the engine (that may differ per engine brand)
- afterrun oil, also ideal to use when assembling an engine