I thought this might be a good place to recommend my favorite produce store in my neighborhood, Old World Market on Broadway and Winona (5129 N. Broadway is the address).
The place is scary from the outside, and certainly smells kind of funky when you get immediately inside (i blame spilled blood or meat stored at slightly high temperatures). But the produce here is as cheap as you will find anywhere, and very very fresh. I scored red bell peppers last week for 99c a pound.
The store is run by Mexican folks, but caters to an African and West Indian clientele, so in addition to the normal produce offerings, they also carry some interesting roots and greens, and do a lot of business selling habanero (aka scotch bonnet) peppers.
They have some groceries as well, but the only things worth getting if you don't know a lot about African cuisine are the various jerk sauces--as authentic as it is, I can't see myself starting to cook in palm oil.
They also have very cheap meat--you'll probably want to play it by sight, as I've gotten stuff that's been fresh and tasty, and other stuff that's been borderline.
As a produce stand, this can't be beat--I think it's better than the Del Rey a block north. Just don't come here expecting to find brussels sprouts or arugula and you'll be fine.
(In case anyone's wondering why the heck I'm posting this, when I first moved to the neighborhood, a friend told me to avoid this place at all costs, solely based on its appearance I'm sure. Glad I ignored him.)