If you only have to go vertical, its very easy. You just cut 2 holes in the wall in between two studs, so you don't need to drill through the studs.
If you also have to go horizontal, you're guaranteed to have to drill through studs and put a hole in your drywall about every 16". Get a long enough drill bit that can make it through your stud by drilling at an angle into the stud (from front to back of stud, front being closest to drywall). Use the fishing tape to pull your wires through the drilled hole to the next drywall hole (which will be next to the next stud).
Patching the holes in the drywall is easy, but getting the paint to match may be more difficult.