Yeah, I think it sounds like you already know what you need to do. So I will chime in on how you could achieve it.
If you eat out so much because it is convenient, then Villanelle's advice hits home: Find ways to make cooking your own meals convenient. Find ways to make meals in bulk that you can take with you, either with or without microwave. Sandwiches, burritos, salads, curries, stews, chili, noodles, etc etc. Go out and buy some nice glass/silicone tupperwares if that's what it takes to get you to bring food from home.
If you eat out so much because you like the food, then learn how to reproduce it at home. Go online and watch some good cooking shows for inspiration, Alton Brown's Good Eats (netflix) is one of my favourites, if you can get past how meticulous and perfectionist he is. No matter what style of food you enjoy, you can learn to create it at home. If you can't find a good recipe from the pros, just check out youtube. I swear there is a cooking video for everything, some very informative and fun, some not so much.
Take a look at your kitchen. If I had to guess, I would assume that it feel small in there, it is cluttered, and does not stay clean. In my opinion you cant have a cooking culture in your home without a utilitarian kitchen. So clear out all the non-kitchen stuff that is in the kitchen and get to work.
To institute a cooking culture, you will be doing the dishes, eviscerating your fridge, throwing out or mothballing your single use kitchen gadgets, making space for your food in your home so that it does not clutter your kitchen, and maybe investing in cheap but big new tools that will allow you to cook like a pro. Expansive cutting boards, 8" chef's knives, a whetstone, a huge stainless steel stock pot, steel/silicone implements, baking trays, and a cast iron if you don't already have those. Then, of course, the last step. COOK! Start easy, then get creative. You could get take and bake pizzas from Aldi for $2 a serving. Embellish them with some chopped onions, kalamata olives, and kale. Once you have a clean kitchen and some successful baby steps under your belt, get creative!! Don't be afraid to slice open those huge squash and that whole bag of onions. Learn how to dice at high speed without risking your finger tips, and how to peel a whole head of garlic in under a minute. Get a pressure cooker and make fresh beans or rice in 20 minutes. Get a jug of peanut oil and deep fry something.
If your family has a cooking culture, then you will be able to reproduce both the benefits of eating out: delicious and diverse food, and the convenience of meals ready to eat when you are. When you know how to cook good meals that don't wilt in the fridge, leftovers isn't a bad word. It becomes oh so good :)