Angelbear,
Quite a few years ago my aunt froze her green beans a really easy way and they tasted wonderful when cooked.
She just gathered up her beans, did not wash them or anything, and stuck them in a pillow case and stuck that in the freezer. She could get out the amount she wanted and then wash the dirt off of them in warm water and that seemed to work quite well.
Beets will freeze okay, but cucumbers do not freeze well. Egg plant does not freeze well. Okra freezes well - either whole or sliced.
You can stick whole tomatoes in the freezer to use for cooking in the winter...they will split some because of the water content but are quite useable still.
adair