Good news and bad news for you.
What you may be describing as bucking is probably a warped flywheel. Or maybe you are new to a clutch and learning how to get to the sweet spot. If they are in to replace the clutch, that has nothing to do with synchros. The clutch is in between your trans and your engine where as your synchros are in the transmission. If you do take it in to get a clutch(and flywheel), and you have the trans rebuilt, it will only cost you for the removal of the transmission once. If you do the clutch now, and the transmission later you will pay for remove and replace twice.
Here is where you need to get strategic. A lot of places know how to replace the clutch, but may not know how to rebuild the transmission, So you need to pick a shop or transmission shop that does. Also the manual transmission is a relatively easy job, so if they do know how to rebuild transmissions. there aren't going to be any surprises in there.