Keeping Vegetables Fresh?

Hi ECAH!
I’m trying to be good and get better about eating healthier while also trying to bring my budget down. Currently, I buy the deli pre-chopped veggies, such as onions, instead of the cheaper whole veggies. I’ve found that for whatever reason, fresh veggies go bad in my house before I can use them or use all of them. I know I can freeze stuff, but I only have a small apartment freezer to store it, so freezing in bulk doesn’t work. My freezer also destroys most food with freezer burn in about 2 weeks, so it becomes inedible.

What advice can you guys provide so I can cut down my budget and eat better?

Keeping Vegetables Fresh?