When to pick pumpkins?

How do I know when to pick pumpkins? The vines are still alive, although barely. The pumpkins haven't been getting any bigger for a couple weeks. They are dark orange. Some bugs (they look like stink bugs) are starting to eat them, so I sprayed them with Seven.

After I pick them, should I keep them warm or cool?

Store them in the cool or at least shade and most importantly keep them DRY.

Mosey,
You pick pumpkins when the stems are dry.