I didn't realize the kids were living in the home or that he's able to go out.
So here are a few more ideas: Well, first and foremost, you need to give up on him because it's hurting you and there might even be a part of him that's enjoying your pain so THAT is reason enough to take it away from him.
The new you: Get fixed up every single day, great attention to your physical self, whatever that might mean. Fixing hair, exercising, doing eyebrows, shaving legs, etc. Whatever your normal routine was, do it and then some. Your clothes are laundered and pressed and you look like a million bucks when you step out of your bedroom in the morning. You prepare breakfast with fun music playing on the radio (reggae always cheers me up) and you smile and be happy. You greet your children with glee and ask about their day, etc.
You do not talk to your WH. There's nothing more to be said. YOu speak only about the most mundane and matter of fact things. "Here's breakfast, let me know if you want anything else" and then turn your back to what you were doing. Civil but short and to the point with no wiggle room to insert emotions.
If you have a hobby, then maybe spend the rest of the morning doing that or calling friends to chat, laughing at their stories and telling some silly ones about how you dropped the pancake batter in the dog's dish or whatnot. Do not mention him in any conversations, he's no longer a part of your life. His physical body is still in your home but that's all it is.
Have a good lunch, do some exercise, do housework, do yardwork, anything to keep busy. Whatever you do, don't sit and watch TV with him, don't sit to do anything unless you are in your bedroom with the door shut. Let him see your strength and what your days will be like when he's gone.
And, to be blunt - you don't owe him a dinner companion. You eat where you want to eat. If the kids like all of you to sit down together, OK, do it. Otherwise, you're done sharing meals with him cuz there's nothing in it for you.
Sounds like he's still able to do a few things for himself so it's also not your job to do his laundry. None of this "well, I'm putting in a load anyway, might as well put his in" cuz that just keeps him front and center in your mind and in your life and those days are behind you.
Might be time to start wearing your favorite perfume everyday, not just for special occasions.
This next one might be over the top cruel but it's not meant to be cruel but to put your mind in a different place: Start looking at paint colors to make your bedroom YOURS and YOURS ALONE and ways to rearrange the furniture in the house and maybe clearing out some of the extra stuff in the kitchen cupboards which might include some of the stuff he was partial to. If you were going to be divorcing, those would be great tactics but since he's terminally ill, they might not be very nice although the reason for doing them is to empower you and help you through it.
Anyway, just some ideas that might help you get through it a little easier. It's essentially the 180, designed to give you the time and space to rediscover yourself and quit having him be the driving force for everything you think, feel and do.
Another great idea for lifting spirits and strengthening the body: Put on YouTube videos and learn some new dances!