Before you do anything to the car I'd check that you are getting spark when HOT...many electric gremlins appear with heat...
Having grown up with carbureted engines I's say you need to pump the pedal at least once, maybe more, even with a warm engine just to get a squirt of fuel in the intake..
When cold my experience is 2-3 pumps on a properly operating engine, the choke & fast idle cam take care of the rest
As for the manual choke I would not push it all the way in, just part way, until the motor warms up a little...once underway push all the way in.