cooking wine: storing

[maggieg58]

I just bought one bottle each of white and red wine, to use for cooking. Not "cooking wine," mind you, but real, decent wine.

How do I store it? Is it safe to keep in my pantry with the cork stuck in it once opened? Should it be refrigerated? I'd like to be able to add a splash of wine to a dish as I'm cooking it, and might not have a "drinking bottle" opened and available.
Any help?

Maggie