Harris Teeter is one of the higher priced grocery stores out there.
Since I don't buy a lot of processed junk, I don't find WalMart to be any cheaper for me. The items that I buy are pretty much the same price at WalMart as they are just about everywhere else. I was looking at some boneless skinless chicken at Walmart, it was at and everyday price of like $1.97 per pound, it looked really bad then I read the package and saw that it was injected with lots of stuff that isn't usually in chicken. They also do not have meat cutters at Walmart, all of their meat comes in prepackaged and a guy in a white jacket puts it out, LOL. There might be some bargains to be found there but you really need to know what the prices of things should be to get them.
I know what the prices (unit prices) are of most things I buy, so I can easily tell when something is a good deal.
Harris Teeter has gotten their staple items priced right over the last year, the only things I find there that are very overpriced are deli-bakery, and specialty and gourmet items.
Once you get your food saver, keep an eye on ads and get meats when they are a really good deal, and fill your freezer. I haven't paid more that $2 lb. for boneless skinless chicken or pork loin in years. I am a strategic shopper, I have a pantry and freezer full of good quality foods that I get at great prices.