Welcome to the family! This is a favourite subject of mine so bear with me…
There’s very little you can’t add chopped vegetables to. Tomato-based pasta sauce readily accepts onion, celery, carrot, mushrooms, red bell peppers, peas. Morning eggs are happy with a stir-fry of most of the above and a small handful of chopped or frozen spinach. Throw veggies in most things you eat already; frozen peas or spinach can be added in the last couple of minutes to soups, stews, sauces, risottos, stir-fries as they need very little cooking.
Fresh veggies usually have better flavour and texture but frozen are mostly as nutritious if not more so as Broomstick points out. I am never without bags of frozen peas, chopped spinach, bell peppers and sweetcorn in the freezer, all of which need little cooking and are so easy to add to whatever’s on the stove.
I have five or six microwave-safe plastic jugs that I zap brocolli, cauliflower, red cabbage, green beans etc. in a few minutes to go with our meals. The most important thing I’ve learned is to up the amount of veggies we eat. Each lunch and dinner, half the plate or over is veggies. I’m still fat and diabetic but I overeat on nutritional stuff these days rather than just crap (most of the time), and it fills me up so much I snack far less.
My family didn’t take to this, but sweet potatoes are more nutritious and less carb-loady than regular. You can bake a sweet potato just as you would a usual one, and try 50/50 mashed potato and sweet potato if you want mashed. Keep all potato foods to small portions, for lunch today I had a small microwaved baked potato finished in a hot oven for a few minutes with tuna mayo and half a plate of microwaved brocolli and cauliflower, and haven’t had a giant leap in blood sugar.
Favourite meal is homemade coleslaw as again, so much can go in it and it takes five minutes to make a giant plateful that will keep you full. Red cabbage, a grated carrot, green onions, celery, then I add whatever’s in the refrigerator that needs using up, which can be bell peppers, radishes, brocolli or cauliflower stem peeled and sliced thin, apples, avocado, fresh corn off the cob. Dressings are sometimes a little mayo, sometimes a balsamic vinegarette, or soy sauce/rice vinegar/peanut butter. I can happily eat this for lunch everyday for weeks.
So tldr: add frozen peas to everything, half a plate of veggies per meal, homemade coleslaw.