Part cannot easily be moved. The edge of the piece is totally exposed for the world to see. A better idea is to have the hair going forward a little and then turning backward. Freestyle pieces do this quite well. We suggest a lace front if you're going to pull the hair straight back.
Lace is probably the least detectable front available.
Custom made hairpieces can be made any way you can imagine. Quite often we have people who ask us to cut a hairpiece for them. Sometimes stylists overcharge. Luckily most communities have more than one stylist. Ask for a price before you have the work done.