Congratulations on making the decision to cut meat from your diet!
I haven’t had to deal with cooking for a meat eating family, and I’ve been eating vegetarian since I was a young teenager so I’m afraid I can’t provide too much advice about your situation from personal experience. But I’m sure there are others who can!
My mom used to just leave meat out of things till the last ingredient, set some aside for me, and then add the meat for the rest of the family. Granted she didn’t know much about nutrition, and nothing of vegetarian nutrition, and I ended up eating a diet heavy in simple starches, dairy, and eggs which isn’t all that great, but I imagine you could use the same concept for your own meals making sure they’re well balanced and healthy. Basically you could prepare the meal for your family, and then substitute a vegetarian protein for your portion. Experiment with tofu, tempeh, beans, seitan, there are lots of options. For convenience there’s always the “fake meats” you can buy frozen, but they are highly processed and often expensive and full of sodium so I try to limit these to just a couple times a week.
I would also try to start introducing your family to more vegetarian food. You can do this with familiar foods that aren’t threatening, and make it fun! Like bean tacos and burritos, falafel (you can oven bake the patties if you like avoid deep frying, I know I do), veggie burgers, pastas, etc. Take what your family already eats and see if you can find a way to make a similar veggie dish. Takes some practice at first I’m sure, but you’ll get the hang of it!
Invest in some vegetarian cookbooks. The Vegetarian Family Cookbook by Nava Atlas might be of particular interest for you, Vegan with a Vengeance by Isa Chandra Moskowitz is a personal favorite.
Here are some of my favorite sites for information and recipes:
The Post Punk Kitchen
The Vegan Lunchbox
Fatfree Vegan
Christina Cooks
Bryanna's Vegan Feast
Vive le Vegan
melomeals
Get Sconed
Hope that helps. Wishing you luck, hope we can help with any other questions you might have!