We are pleased with Publix for everything. I do enjoy their greenwise line for meats.
If you have a farm stand--that would be good.
I do enjoy Whole foods, but if you don't plan on buying organic, I wouldn't necessarily bother. I find the organic markets to charge more for conventional than they should like our local Wild Oats.
I loathe Winn Dixie (worked for them for several years and can't stand their stores or their selection). Their produce goes bad pretty quickly, too.
We also have Petty's Meat Market. I am not sure if it is a chain or not. We have a couple here. Not too convenient for me, but their meat was good.