In terms of your dancing skills, you can't go wrong with a basic slow dance - if you watch most any high school movie out there, (Sixteen Candles is a fun one) there are some very basic things to do that are very easy.
There are a lot of reasons you might want to learn how to slow dance.
Listen to your partner - A good slow dance is like a conversation - since it's not as physically exerting as some of the more athletic dances like swing, it leaves room for more of a connection between the dancers.
Any dance studio will offer training in movement that can increase your ability to slow dance - often by developing the skills listed above.
The best place to learn how to slow dance is in the arms of your partner, whether on a dance floor or just in your living room.