cold start relay?

I am having problems with some hesitation. When I start the engine, it wants to hesitate when I step on the gas. It only does it for a minute or so then once I really punch it, it takes off. Does this have anything to do with the cold start relay? What is the problem? Thanks for the info.

Lets see this is a 1991 318i?

So I would be suspect the sparkplugs need replaced.
The wires are cross firing, test by opening the hood after dark and looking for sparks. Replace cap and rotor also.
The o2 sensor is weak and needs replaced.

Later,