Like everyone else I'm trying to reduce my grocery bills. Since I eat Paleo, that cuts out quite a bit of cost simply because it excludes grains and dairy.
There are huge numbers of GF recipes online, including those at glutenfreegoddess.blogspot.com/
For really cutting down grocery costs, the new book called "Cut Your Grocery Bill in Half with America's Cheapest Family" by Steve Economides is really excellent and doesn't rely on coupons. More help is available at their web site. Plus libraries and yard sales are terrific resources!
And don't forget to ask family members for old cookbooks. Cookbooks dating back to before 1960 used real foods, and there are many recipes in old cookbooks that are gluten-free. (example: the old Joy of Cooking is wonderful, but not the newer versions that rely more on convenience foods)
Aren't used to shopping for fresh produce? Ask among your senior family members, or senior friends - especially those who are good cooks - and go with them to the store. You'll learn a lot about selecting produce and bargain hunting!
Since I live a long ways from the store, I'm trying another tactic. I buy as much fresh foods as will keep well for most of the week and then shift to using frozen veggies the last few days before going back into town. Also, I'm trying to make better use of the crockpot recipes for salvaging those fresh veggies that might not get used before they lose their vitamins. It's important to cut down on what fresh-gone-bad food gets trashed. Be sure to check the refrigerator weekly for items that need to be tossed, and then consider buying those items frozen next time to avoid waste. (For me it's cauliflower - I should only buy that frozen!)
And the grocery list is vital! As you use things while cooking write down anything that's going to need to be replaced. Also check the pantry and freezer before heading out to shop so you don't get home and find a vital ingredient missing. Since it costs me $10/trip to go to town, I don't want to get home without everything I need for the next week.
To really save money you'll have to decide between the fast convenience foods and your time in the kitchen. Make your own convenience meals when you cook a large meal freeze a portion first and create your own convenience frozen foods. Cut back as much as you can on pre-packaged, processed foods.
Yes I do buy some canned items to have as 'back up', but not in the amounts that I once did. Remember, I really don't like to cook, so cooking from scratch is work to me. But, to really cut food expenses, cooking from scratch is actually cheaper than buying prepared foods though you might not realize this fact early in making the shift. It seems like buying canned X already cooked is cheaper, but when I got going on cooking from scratch I'm finding it to be significantly less expensive (and healthier) to use real food - but only if I cease buying convenience foods.
Finally, make your own snacks and desserts. These items can be both healthier and less expensive than their processed food counterparts. Occasionally picking up some GFCF cookies is fine. But sliced apples, diced, then sprinkled with lemon juice, cinnamon, crushed walnuts, and a few raisins cooked a few minutes in the microwave makes a fast, healthy dessert, too. Frozen grapes are very tasty as well.
Make your own salad dressings. How hard is it to combine olive oil, red wine vinegar and some seasonings in a small jar and shake it? It's much less expensive to make your own. If you do buy commercial salad dressing, try adding some water. Often you can add water up to to a third or more of the container which would make that item less costly, plus it pours better out of the container.
Those are my favorite tips