If I remeber correctly, both sweet bay and publix have coupons in their sites. Publix has free clubs and programs that will mail you coupons. When we lived in Fort Myers 2 years ago I also noticed that the coupons on the site would coincide with sale. Meaning a coupon would be on the website, I would print it and keep it for 2 weeks, the coupon would be taken down and a week later they have the SAME product buy one get one free. I really saved with that! Many times I got the product half off and then got 2 so I only paid 1/4 the price!
Sweet Bay didn't offer as much but had fresher veggies, fruit and meats.
Sams club had the best prices on milk, eggs and flour (I bake all the bread in our house so a 50 pound bag lasts 2 or 3 months! and it was a savings of 35 dollars with flour alone add milk, eggs and other bulk items for baking and the savings went to 300 for the year!)