2001 vetch running problem need help please
 

i have a 2001 Honda Vtec with over 200k miles on it. When I first started noticing the issue the car would stutter a lil bit at 1st acceleration. Then as it started to get worse it would have trouble from dead stop to cross intersections. As the weather has gotten colder it's even worse now to the point of needing 30 mins of warm up time to even pull out of the driveway. It seems like when it is warmed up it will sometimes run fine. I scanned the codes and it was an 02 sensor problem. Replaced the 02 sensor then cleared cords and when it ws started it did the same thing again. I took it to a shop and scanned it and the mechanic said it seemed to be a fuel volume problem. I replaced the fuel pump and filter and still the same issue. I can't afford to just throw parts at it I need to find out the issue and see if I can fix it. Any help would be appreciated.

What kind of engine?