skoda fabia ,starting?

My skoda starts ok, but on short runs once parked will start again but then cut out on a junction , i e changing to first gear, we have called out breakdown who have got it started again by taking out fuse to stop it flooding ,putting back and getting it going, suggested we get it serviced which we did and they couldnt find a problem but then it happened again. My daughter said it might be a fuel filter help please