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Well, some head units have a built in crossover. Some amps do also. If you use a built in head unit crossover, you'll need a separate amp channel for each speaker, since the frequencies will be divided by the HU. I would just get whatever 4 channel amp you can find...the tweeters don't need much power at all. When I had a decent car audio setup, I ran a 5 channel US Amps amplifier and an external crossover, since my head unit didn't have one. The amp was nice since it had 4 50 watt channels for mids and tweets, and 1 250 watt channel for the sub. It was more than enough to listen loud.
The type of crossovers you wire the tweets and mids to is called a passive crossover. It goes after the amp, so you only need 2 channels, but unless you have a prematched component set, chances are a given crossover won't be optimal for your tweets and mids. Car audio isn't really going to sound that great in the big picture, since a car is a terrible acoustic environment, but you at least want to get your setup in the ballpark of what should work well. You definitely want a filter on the mids, especially on the low end, since asking them to play bass is going to stress them a lot and mess up the midrange quality.
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