They're not much different than any other type of battery chemistry. Forget the diode, and use a Polyfuse as suggested.
Depending on chemistry, you can draw between 2C and 20C from the LiPO. If you don't know what type of chemistry it is,
be safe and limit it to 2C. The only other precaution you might add, is not to let it drop below ~2.8 - 3.2V under full power.
It just reduces the #cycles a bit. Can you post a pic of the battery?