The Frugal Gastronomy way requires that you invest in an extra Freezer or Refrigerator/Freezer combo as it will pay for itself.
Aside from shopping weekly for our fresh fruits and vegetables (if we didn’t grow them from our garden) we try to shop the sales and stock up, having extra space in our 1 extra freezer and 1 extra refrigerator/freezer combo.
Full disclosure, we purposefully went out to buy the extra freezer and when we upgraded some appliances we kept the old refrigerator/freezer for this purpose. You can even buy an old one someone is selling on your local craigslist.
This allows us to save money when items go on sale rather than buying things when we run out and paying a premium. Buying in bulk and when on sale optimizes your grocery bills.
If you have a green thumb you can also grow your own herbs inside, year round and vegetables seasonally (east coast season’s here in PA) and freeze, or even cook and freeze in some cases.