The peppers I KNOW I'm going to use within about a week I keep in the crisper drawer of my refrigerator.
Most of the time, I will cut the peppers into quarters and freeze them. Even though they've been frozen, I have never had a problem using them in stir-fry dishes, soups, stews, casseroles, meat loaf, etc. I just don't use them in salads or in recipes where it is obvious the pepper should be market fresh. Been doing this for close to 30 years with no problems.
"As a girl I had zero interest in the stove." - Julia Child
This is real inspiration. Look what Julia became!