Remember back in school when you used to wrap book covers in sticky back plastic, same principle here.
Only difference is that you heat and stretch and apply, it is really that simple.
If you are stuck for which vinyl type to choose, I think the difference in how long it will stay attached when applied vertically to a vehicle exterior, I think one is 3 years and the other is 4 years, but you'll have to check, but I don't think it will matter as it's gonna be on the inside.
Other tools I would recommend are a vinyl wrapping squeegee (if possible felt covered) and a hobby knife/scalpel to make precision cuts in tricky areas (mind your fingers tho )