Bell's, which is a local IGA. They have great prices on meat and dairy, and give a 5% senior citizen discount on Tuesdays for those 55 and older! There are certain grocery items I buy here as they are cheaper than the local chain, but I am not always happy with their produce. I hit Bell's every Tuesday (Senior Citizen Day!!).
For other groceries, I go to Hannaford, which is the big chain in the area. Their produce is pretty decent, for a grocery store. We also have Shaw's, but they are expensive. We probably stop at Hanny's about 3X a month, for stuff we couldn't get at Bell's.
BJ's and Sam's- maybe go to one of them every 6-8 weeks, to stock up on specials. As it's just DH and myself here at home, it's not always cost-effective to buy in bulk, but there are some things we get here because it's cheaper than Hanny's or Bell's.
Walmart- cat litter, cat food, almond milk, store brand dry roasted peanuts, sliced cheese. That's about all I'll buy, grocery-wise, from Walmart. Their meat quality is crap and their produce rots in the blink of an eye.
It sounds like a lot of running around, but either DH or I pass these stores every day on our journey to/from work, so it's not out of the way at all. What IS out of the way is Trader Joe's- a two hour drive to Portland, one-way- but if we are driving through Portland, we almost always stop at TJ's.
When we are in Orlando, we go to Publix, mostly because we know where they all are. When we lived in MI, we did Meijer, and in upstate NY we liked Wegman's or Price Chopper.