The last time I was around, UPS wanted four years of college, around 4,000 hrs (preferably with some heavy time) and at least an ATP written, as you could be hired on a long range, international airplane that will require a type rating.
My son flies Gulfstreams for a very well known corporation, and I would recommend that path over the airlines these days (except for maybe UPS or FedEx). Get some time under your belt as a CFI then get a bush pilot job in AK. Quick way to build time, and better experience than only being a flight instructor.