Welcome to AF guys !
gersus, could be many things causing your troubles.
A Faulty IAC, contaminated fuel, damaged(or wet) ignitions wires and thier components , bad plugs or incorrectly gapped, a vacum leak at the intake manifold or plenum(cracked hoses).
Might not hurt to get it scanned with a good scan tool.
And as Jim said check your fuel pressure.
Hope that helps.