Scared to start again.

If you can afford to eat out 5 times per week you can more than afford to cook at home. Cook healthy for yourself and if the others don't like it, make them cook.

What do you mean by cooking "healthy" that they don't like? I agree if you can afford to eat out 5 nights I'm sure you can figure out something else. If all you eat out is fast food...is that really good for anyone 5 nights a week?

You're the mom. Be the mom. Do what's best for them and you even if it means some whining at first.

They can learn to eat homemade food. You can just make normal meals and have more veggies for you. I rarely cook 2 meals. I sometimes supplement an extra veggie for me in place of some other high calorie side like rice or pasta.

It's not difficult at all. Just requires some thought.

When I make chili, we all eat it. When I make tacos, we all eat it. Pizza? You guessed it....we all eat it. I just have less of the high call stuff and add a salad for me and whoever wants it. Leftover salad? Part of my lunch the next day.

You will save money cooking at home, stop eating out! the family will get use to the food you make at home. skinnytaste.com has some awesome food (regular food just leaned up) invest in a crock pot if you don't already have one. You can do this and with having small children it would be good for them to start to eat healthier as well. I am a mother of five and on a very tight budget and I took over all the cooking in the house and the first thing we did was stop going out to eat. You can do this.

@roxannaracquel I hear ya! Oh how that sounds like me (only without the kids. Just a husband).
Here is how I've made it work for me so far by making food quick and easy (hopefully one of these will be helpful). Sorry, this might get a little long
--I use bag liners in my crockpot so clean up is minimal
--I take time when I can get it and freeze things in individual containers to eat later. right now I have beef taco meat, homemade meatballs, spaghetti noodles, and shredded chicken breasts all precooked and each in their individual containers. Mealtimes looks like this for me: Night #1 taco night I microwave him beef taco meat and make a couple tacos for him, then my meal is canned chicken or the shredded chicken breast with salsa on a salad (I use the ingredients he is using for his tacos, but just omit the things I don't want like sour cream, tortilla, etc). Evening #2 I microwave spaghetti noodles and meatballs for him, and my meal is a yummy shake (When my Greek Yogurt is about to expire I freeze it in ice cube trays, then put 3 ice cubes and whatever fruit I want in a baggie. When dinner time comes I grab the baggie from the freezer and dump into the blender with almond milk. Super quick!). Evening meal #3 I microwave shredded chicken for him AND me and add BBQ sauce to it. He eats shredded BBQ chicken on hamburger buns and chips, and I eat shredded BBQ chicken with a side of microwaved/fresh veggies. Every night at my house looks like this. I know with kids it makes for more prep time, but should still be doable.
--I didn't change what my husband eats for breakfast, I just choose to make quicker choices for me, like a Quest bar, or eggs (put an egg with 2 egg whites, or just 3 eggs white or whatever you want in a coffee mug sprayed with PAM. Add pepper and any veggies you'd like, like red pepper, etc and mix with fork. Microwave for a minute. Stir again and add a Laughing Cow lite wedge or whatever and cook for another 30 seconds. There you have a breakfast and all you've dirtied is a mug and a fork. Obviously cooking times vary based on how much egg you put in the mug, so just guess. (It is recommended you cover the mug with saran wrap and fold a small portion back to vent if you want to make sure to keep your microwave clean).

Anyways, just a couple quick things that I've found help, and I'm hoping something will help others. Regardless if you use any of this, you can do this!! You will find what works for you, just stick with it

That's a tricky situation. Life is not making changes easy for you right now, but maybe making just one change for now? One thing I do is that when I cook, I don't tell anybody that it's a really nutritious, healthy meal. I just cook. Usually, they can't tell. I do a lot from Cooking Light (esp their slow cooker cookbook) because they use real ingredients and you can see the nutritional content before you start. It's a great time of year to use the slow cooker for soups and stews. Sometimes I do a simple soup like butternut squash, but for DH, I add sausage, so he gets his meat and I get a lighter version without cooking two meals.

Don't be afraid. Set up MFP, eat the calories mfp has given you (plus some exercise calories if you exercise), weigh and log all your foods (weighing is the most accurate way to keep track).

You can do this. Just trust the system.

I agree, home cooking saves LOTS of money. I like to cook in bulk on Sundays.

I'm also starting over after having my fourth baby and gaining 50lbs

I would first get your husband on board. Eating out is finacially more expensive in food and in the long run on medical bills. Set the example for your kids and tell him he needs to do the same. Best of luck! Your kids will thank you in the long run