I have a 1995 BMW 525i when accelerating car seems to sputter, but as you get up to speed and cruise its fine.
I think it might be the fuel injectors. Where should I start?
If I recall right, those vehicles have a lot of vacuum hoses. Vacuum is only really utilized during idle, hence the disappearance of your problem. The sputtering is likely related to a dying vehicle, and as you accelerate it is able to keep running. Open your hood, and start looking at all the rubber hoses; compress them with your hand slightly and you can feel the ones that are in the process of dry rotting.