Re: What should I use to remove this?
In order to do this, you are going to need to get your hands on a good DA polisher, or rotary if you have used one before, some decent compound and polish. Since it sounds like you haven't done much detailing I would suggest some Meguiars Ultimate Compound followed by some Meguiars M205 or Ultimate Polish. I can't imagine doing it by hand. Your also going to need some polishing pads and some light cutting pads. You can definitely bring back the pop in that puppy.
1. DA polisher: Meguiars, Griots Garage, Flex 3401
2. Lake Country 6.5"pads: 2-3 of each: Polishing, Light Cutting, Finishing
3. Meguiars Ultimate Compound, Meguiars Ultimate Polish
4. A good sealant: Duragloss 105, Blackfire Wet Diamond, Meguiars M21, many others.
You can learn the step by step by reading the forum and asking questions.