My first thought would be to paint the cabinets gloss white and put new pulls on them…but you might not want to go to the trouble if you’re moving soon.
I agree slip covers would make a difference. I’d also suggest de-cluttering a bit, especially on the fridge – alley kitchens are difficult, as even a few extra items can make them feel rather claustrophic…and refrigerators are especially problematic in alley kitchens, as they’re usually the biggest things in them.
A quilt or hanging on the wall instead of the pic would be nice, and you could do matching pot holders and toweling.
The bright teal on the walls (at least, it shows bright teal on my screen) is very 50’s/40’s…you could do a few touches of really fun retro stuff with that color combo! (Think roller skating waitresses in diners sort of thing!) The white looks fab with that color, so I’d stick with those two with a few tiny accents in a blue-based red.
Just one take, I’m sure others will have some ideas too!