may I ask how you drained the old fuel? Only by opening the pet-cocks and letting it run out? Or did you really take the pet cocks out, cleaned them, took the tank off the bike and turned it to make sure there is no water anymore?
Reason I am asking: water is heavier than fuel. It will go down to the lowest point where - guess what - the pet-cocks sit. water has a higher surface density than fuel and might not completely drain through the "filters" on the pet cocks. So - the right way to do it is to make sure the fuel tabs /pet cocks go off their seats (be carefull, one is left hand, other is right hand turn! Make sure to order 2 new gaskets before you remove them!) and to make sure there is not one drop of water in the tank.
Next point is: if your float bowls overflow or leak fuel, there is something wrong. fuel leaking can be either the round paper gasket at the float bowl screw or - much more likely - the rubber gasket sitting in the contact surface between float bowl and carburator. They should be replaced when leaking. With fuel, they git a bit bigger and might seal for the moment, but next time they dry out, they will leak again.
If no fuel is coming, there is definitely something blocked. Follow the fuel from tank to the fuel filters (if existing), to the fuel filters sitting in the carbs (under the little cover where the fuel lines are mounted) to the float bowl and further through the jets to the intake.
Once you are at it, make sure that the float hights is correct. Personally, I check that with carbs mounted, one bowl removed. Now use a tool like this:
adjust it to 18mm, hold the floats high with it and open one side pet cock. No fuel shall run. now lower the tool above just a mm and see if fuel comes out. If not, float level is to low. If it already runs although you push it up, float level is to high. Adjust accordingly and mount the float bowl again. Repeat with next carb and then with the 3rd.
Next point on Bikes starting badly: make sure, all 3 choke sliders close fully when shut and that they move all at the same level. If not, adjust with the adjuster under the rubber part where the choke cable goes into the carburator.
Once the bike starts good, make sure to adjust the idle only by the central idle screw and only when the bike is fully warmed up!
If that all does not work, it is rebuild time for your carburators.
HTH