Corolla 87 Stalls and Hesitating When Cold

I'm having troubles with my 87 Corolla. It has had new distributor, cap,
leads, plugs, air and fuel filters, but still when it's cold it stalls
easily when left to idle, and when gas pedal is pressed the enginge
hesitates and goes to stall unless i pump the pedal. When trying to start
off, the car moves and then the engine drops back dramatically... almost
stalling, the revs drop right down and the car bucks and lurches around.
The only way of overcoming this is to drop the clutch slightly and pump
the gas, to get it back to normal, and then raise the clutch to carry
on.... all this only happens when cold... if I leave the engine to warm
for about 10 minutes or more, then none of these symptoms exist .... any
suggestions or cures please? Thanks in advance, Peter.