I can't really give you prices because I'm not in the US. But, I can try to give you some tips.
If you have access to a farmer's market or farm, that's where you'll find the best produce and the best prices. In the farmer's market specifically, you can also get better prices if you go later. You won't get the best quality they have but it'll still be pretty good and they'd rather sell them cheap than not at all.
Also, always buy what's in season because those are cheaper and, usually, less laden with pesticides. You can look up what to get each month. If you can only shop in grocery stores, buy in bulk for anything that can be frozen or, if you're up for it, cooked and then frozen and look up the sales as often as you can.
I'm lucky in that I live in a small city and I have several smaller grocery stores in walking distance. I always make a list of what I need, I look up their websites and get the things I need from wherever they're on sale. And if there are things I use but I don't need at the time, I still buy them and keep a stock. I've now learned what comes on sale where and I know when to buy deodorant and how many bottles to get until they come back on sale. I always save plenty of money that way.