If you have a vinyl top then remove the molding separating the vinyl and paint. Drip rail chrome really should be removed also, but can be extremely hard to take off undamaged. If you plan on buying all new drip molding then definitely remove the old for painting. But if you want to keep the originals then it might be better to leave them on and let the painter mask around. If you have hub caps it's easy to just take them off. While the paint shop should completely mask all four tires, overspray can still find its way in. It's sometimes better to play it safe and just remove wheel covers.
Hope this helps you in deciding complete exterior paint job, or partial trim only exterior paint job, saving painting costs when you can, from your local area painting contractor.
A good interior paint job is often 50% preparation and 50% painting. Do not rush in preparing the surfaces in your eagerness to get at the brush or roller. If you do not prepare the surfaces properly, you'll be back with the paint brush or roller in a few months.
You'll need a large compressor, not just the typical 20 gallon variety most of us have. This is a 60 gallon, vertical compressor with typically a 5+ hp motor. Then you'll need a decent paint gun (possibly 2; one for primer and one for color) which again is an expense. Then there's the question of where you'll paint the car. Renting a paint booth is best, but can be expensive and hard to find. You can always seal up your garage or shoot out in the wetted down driveway, but you'll inevitably get dirt and moisture into the paint.
You can use vinyl on almost any exterior except previously painted wood. It works fine on wood shingles and shakes, asbestos shingles, brick, stucco, concrete and masonry blocks. One manufacturer says you can even put it on wood clapboard if the clapboard is new and unprimed.
Definitely good inside the house is a new vinyl primer-sealer to be used as a base coat under any paint. It dries in as little as 30 minutes.
Airless Tip: If you have somebody who can start masking off the trim, have them start on that while you convert the airless to a new color. When changing colors with an airless paint sprayer it is a good idea to have a second bucket filled half way with clean water. Place the intake hose in the clean water gently without getting the old color everywhere in the water. Take the tip out of the airless and spray all of the old paint out of the hose and back into its original paint bucket. Be careful when doing this that you recognize when the paint starts turning watery. When it does point the gun into the first bucket and spray until it looks pretty clean. It doesn't need to be perfectly clean. When it looks good, clean off the intake line in the clean bucket and get the old color off the intake line. Now place the intake line inside of your new trim paint.