FYI - I'm just feeding myself, and I have a standard kitchen and fridge - I stopped eating out for lunch, and I do much more cooking than I used to...and my food budget has been cut to only about 25-30% of what I used to spend -
First up, I found that I saved tons of money on food when I started planning out a whole week's meals at a time, and only bought enough food for those meals (unless there was something that I knew I would eat soon that was at a very good price - and it was something that would keep or freeze). No more giant bags of carrots or other produce - the price per pound might have been better, but not if I ended up throwing out half.
Each week, I check the weekly food ads and look for lean proteins, fruits, and veggies that sound tasty...I pretty much ignore all the processed packaged foods (which unfortunately make up most of the ads). If I can find bone-in chicken on sale for under $1/lb, I buy 5-10 pounds, roast it or make it in the slow cooker, pull the meat off the bone, and freeze it in ziplocks (about 2-3 cups a bag). Then I use this for soups, stews, chicken salad, crustless chicken pot pie, etc. I also buy canned tuna and frozen veggies in larger amounts when they go on sale. If I buy beef, it tends to be something I can stretch in soup (ie beef barley soup), or make a bit of taco meat for salads...steaks are a rarity in my diet now-
I buy old fashioned oats in bulk (they only take a little longer in the microwave than instant)...even if you just buy the brand name Quaker Oats tubs, you can get 40-50 servings for the price of 10 individual packets -
Milk always goes bad on me, so I've switched to unsweetened Almond Breeze - it's shelf stable with fewer calories than milk (although a bit more expensive than milk unless on a really good sale), but doesn't feel as wasteful - and I really like the chocolate flavor in cereal or the vanilla in my oatmeal.
Bread is another thing I never finish...so now I buy a loaf of whole wheat on sale and put at least half straight into the freezer. And I only buy bread when I know I have food items on my weekly schedule that I will use it for -
I tend to make a big pot of certain soups/stews, freeze half or so, and then pull out the frozen containers when I'm reaching my monthly grocery limit - I make a chicken taco soup (with previously mentioned frozen chicken, green pepper, black beans, frozen corn, onions, cabbage, and a tomato-y broth); a lentil stew (with lentils, carrots, and spinach in a tomato-y broth); and a white bean stew with turkey sausage and whatever else sounds good; beef barley, etc..
I keep track of sale/non-sale prices on things that I typically purchase (chicken, turkey, tuna, various fresh produce items, frozen veggies, cottage cheese, diet soda, coffee, creamer, etc) at different stores, so I truly know when I'm getting a good price. I make sure to visit the farmer's market and ethnic food stores at least occasionally to check prices/quality. For me, the savings come mostly from planning and not buying things that will go to waste. I also always go shopping with a list and avoid any unplanned purchases. It's definitely more work and time than buying stacks of frozen meals, premade salads, and rotisserie chicken - but I'm trying to save a bunch of money right now, so it's the choice I make
Not sure if any of that really helps you in your specific circumstances, but it works for me