They can't, the Sims games doesn't have cheerleaders.
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"Sim" is short for "simulation." There are many sim games other than Maxis' The Sims franchise; dating sim games that have become very popular Japan, for example. At any rate, the games are meant to be a sort of simulation of real life, so "sim" has become a common shorthand for these sorts of games including "Sim City," "Sim Copter," etc.
4 sim days
Yes Vampire Sims can become pregnant in the sims 3. In fact vampirism is genetic in sims 3. eg: Sim+Vampire= Sim/Sim/Vampire/Vampire Sim+Sim=Sim Vampire+Vampire=Vampire
They can only have mermaid costumes. They don't look that real you can see their feet. If you want your Sim to be a mermaid, buy the Sims 2 of download a mermaid Sim from the Internet.
With every sim on that game, get you sim to relax on the bed with him and press fast forward until they become friends.