Mike's recommendations are exactly what I would have written out (if I wasn't so lazy).
To do the job right, you'll need an orbital polisher (the Griots 6" is the best bang for your buck), pads, polish and wax (or sealant), plus a handful of good quality microfiber towels. Probably about a $250 investment. But that investment should keep you going for several years. Of course, you can spend a lot more depending on your choice of polish and wax.
Notice that my list didn't include the backing plate that Mike mentioned. You can get by without it if you buy pads to fit the 6" backing plate on the Griots machine. But you'd be better off if you also invested in the Griots 5" vented backing plate and got pads to fit that instead of the native 6" plate. The smaller pads are better suited to that machine (and really should come that way from the factory).
The work itself is pretty simple with the orbital polisher. Highly unlikely you'd be able to remove the holograms without one. Just be sure to read up a bit about the process (doing a 50/50 test area and starting with the least aggressive polish and pad combination). If you pay attention to your materials and technique you can have your vehicle looking better than new in one weekend.