Chopper, I prefer the 1/8" foam. Easy to work with and sew. As to the home sewing machine, as long as the vinyl is not really heavy you should have no problem unless you sew more than 3 layers at a time. I had my neighbor lady sew up new inserts in my Camaro years ago, she said it was no problem at all with her home unit. I have a commercial machine for the heavy stuff. (Tarps, belts, heavy weight leather, etc)
If you are using piping, test first. With a good machine it should work.