It depends on the dance and character, but:
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A tutu overlay is a piece of embelished fabric that is tacked to the tulle of a tutu. Without an overlay, the tutu is usually a plain, solid color and is quite boring. The overlay adds decoration.
a skirt flows more and longer than a tutu - a tutu sticks straight out and is usually made of a fabric like tulle
It depends if you are looking for a rehearsal tutu or a performance tutu. Usually, performance tutus are custom made, so you would have to find a tutu maker or maybe someone who is a very experienced sewer. If you are looking for a rehearsal tutu or already made performance tutu, you can go to a local dancewear store, but not all dance stores carry them. You can go online to websites like: http://www.dancewearsolutions.com/ballet/tutus/Default.aspx http://www.discountdance.com/dancewear/tutus-and-skirts/tutus/page1 http://www.tutu.com and other dancewear stores.
tutu
A tutu.