Do you think it would be best to rebuild the carbs first before trying to sync them? It seems a little daunting at the moment.
Given that you've only had this motorcycle a short time, and that it sat for a while, I would recommend taking the carbs off and at minimum give them a thorough cleaning, renewing seals, jets, etc. as necessary. Most of what you'll want to clean is accessible after removing he float bowls, many times the slides are not very dirty and can be left in place. At worst, you'll spend some time to ensure that they are alright, but at best you may find and fix issues along the way. Pay special attention to making sure that the internal passages and jets are clear so that fuel flow to each cylinder is not different due to the internal condition of the carbs.
But before that, I would ensure that the valve clearances and ignition timing are correct. Then clean the carbs and put some miles on it, followed by a carb synch. Sometimes running it a bit helps restore compression, intake flow, etc. all of which will affect the carb synch enough that you'll want to repeat it later on. If you find that the carbs are holding their synch for periods of time, then you'll know that the engine's running condition has stabilized.