Nikon D3200 - DX vs FX etc

[Stretch]

I'm currently looking for my first DSLR camera. After searching on here and a few other places I understand the Nikon D3200 (with 18-55mm lines kit) is not a bad place to start?

After doing a bit more reading, I'm slightly confused by lens compatibility. I understand that Nikon cameras come with sensors in two basic verities, DX (smaller), FX (larger). The lenses also come in these two formats, and the D3200 is a DX camera?

Are the lenses/bodies cross compatible, and if they are, am I better off buying DX or FX lenses for my new camera?

Also, I've read that the D3200 doesn't come with a inbuilt auto focus motor. Is this only needed to support older style lenses which lack a motor?

Are there any other limitation I should be aware of when buying this camera?

 

[Stretch]

Thanks very much both of you.

Do I get more flexibility by buying FX lenses in case I plan to buy an FX body some time in the future? Or is there an advantage to DX lenses that I'm missing?

 

[Stretch]

Excellent. Thanks for clearing that up