Start up is rough idle and chokes on acceleration for about 4 to 8 miles then smooths out

You idint list the year,make or model carnbut i would try to check for two things, first is to check for an injector that leaks and dumps fuel into cylinder when engine is off then when you start it, it runs fough until it clear out, or the fuel preasure regulator leaking it will do samething as the injector leaking, remove the vacuum hose from regulator and see if its wet with fuel or if fuel leaks out, start with these tests, the last thing would be a fuel preasure test on the pump. if the fuelpump drains down when sitting it will run rough and skip until enough preasure build up,this can be done with a fuel preasure gauge, watch preasure gauge when engine is shut off , see if it drops slowly but note that if it does it can also mean the other parts i listed are bad too.so check one by one to find if one is bad. good luck and hope this helps you.,

Sounds like dirt in fuel buy a good fuel cleaner and put it through the fuel system should solve the problem after some miles.adrian,,,,,,,