And since you're only using what you buy on sale, they taste different every time!
Learn what doesn't need peeling. Potatoes - don't peel. Cucumber - don't peel. I don't even peel carrots. Just rinse and scrub.
Being lazy, I buy frozen vegetables to bulk it up. Don't buy anything if it's not in a clear bag, otherwise you're buying expensive chopped carrots.
For things that are canned and "require" rinsing, rinse in the can.
Anything that involves an oven takes too long. Find out where you can use the microwave instead.
When I make a stirfry, I put the potatoes in the microwave first to mostly cook them, then finish them in the stir fry. Same for carrots if I'm feeling a softer texture.
If you're parking for work, invest in a good set of glass Tupperware-style containers that seal well. Don't buy a big set: you won't use 75% of them. I just buy plastic cutlery and keep them in my desk at work and dispose 50/50 (sometimes they'll fit in my container to take home, other times they won't and I don't want to deal with it).