It should start on 1 or 2 kicks. Tickle the carbs until you just see gas. Do not touch the throttle. Do not close the choke. Kick. If nothing, kick one more time.
Ideally, especially if your small, get the engine just past compression and then kick. In any event, you must "think" the kick starter straight down - like follow-thru in sports. If it does not start in two kicks, it's possible you're flooded. In that case, open the throttle quite a bit and kick.
The carbs being new is good but if they are not properly setup, new does not matter. The pilot jet (brass colored) must be screwed all the way in. The air screw (silver) across from the pilot jet should be 1-1/2 turns out from seated. The fuel height in the carbs is important - if too high, you can be flooding. If you bought the carbs recently, they are probably correct as all new aluminum Premier carbs are factory tested - older ones were not.
*IF* you have an ignition problem, it's more likely timing or plugs rather than anything you've checked - assuming you have spark at both plugs. Also, make sure your plug gap is 0.025"
What RPM was it running before it stalled?
Keep telling us more and we'll hone in on it. Your goal:
1) Start on one or two kicks
2) Idle even when cold (around 700 rpm)
3) Idle around 1100 when fully warmed up.
4) When fully warmed up and you blip the throttle, it does not stumble.
When you have that, you have the pilot (idle) portion of the carbs right.