Ditto to what Jon said.  I use a "green" contact cement and use a hairdryer to speed up the drying process may take an extra 3-5 minutes to wait but worth the time so you can use it in your house safely.  Green meaning not the colour of the glue but that it is a water based contact cement which it is safe for the environment as well as you lungs and brain cells.

Daryl H

This video is the one I was thinking of.

Sorry, I posted that video link without realizing there was an entire 2nd page of replies that already knew what I was talking about!

I was thinking of gluing oval liked shapes together for the pattern on making the round puppet body, similar to like a beach ball, and then opening it up at the bottom, but I may be going about it all the wrong way. I just noticed she had her blog link in the comments, so I am off to check that out.

Thanks for all of the replies