Ok, so you have a hybrid bike. 627 B carbs were from a CB500 1972 or 73. Your exhaust is not stock either. The black plugs are no doubt due to improper jetting of the carbs for that assemblage of parts. Those carbs were jetted for a 4 into 4 exhaust, stock paper air filter, and an engine displacement of 498cc.
For economy sake, I'd recommend you get a UNI NU-4055 foam air filter. This is a reusable foam air filter that has a bit less restriction than the paper (especially and old used paper filter), that provides a bit too much choking action. Settle on the filter you are going to use long term before dialing in the carbs.
The 627B carbs were set up with #100 mains, #40 slows, and the slide needle (I think) in the middle position.
If you are completely satisfied that the carbs are clean including those emulsion tubes (main and idle), then you need to find out if the carb internal setup is still in the stock configuration, jet number slide needle position, and Main jet size.
I think the #100 mains may work out OK. But, the slide needle height will likely need a different position. And, if you can't lean up the idle mixture enough with the Idle Air bleed screws, then you may need to find #38 Slow jets.
Any chance you are using D7EA plugs? Get a couple spare sets to use while tuning the carbs for their current employment. Be sure to check that all plugs have the same deposit condition. Because what you do to one carb will be replicated to the other three.
You will want to do the whole tuneup process before dialing in the carbs (tappets, cam chain etc.), and you will need manometers to vacuum sync the carbs after changing slide needle height positions.
It should work out okay. But, you've got some work ahead of you. Do you have a test track available to do "plug chops" on?
The inside of your carbs do not look that bad, but this series of carbs has issues with the post around the main jet corroding. I can't see that in the pictures so make a close examination of that area. Further, if the o rings on the main are at all hardened, they will not seal properly in place and excess fuel will leak past, around the metering orifice, making the mixture rich or erratic. A new oring is recommended.
Cheers,