Hi. I just wanted to say that i'm so sorry you are feeling this way. I think it might be helpful to reach out to a GP to discuss how you are feeling though. There are lots of things that can be done to help you with how you are feeling. I am so sorry that I don't have all the answers or solutions to what you have going on just now but there are things that you can do - im not saying you will want to do them and im not saying they are easy, but they are things that are physically possible that might give you a distraction, a purpose and might even help you feel a bit better.
You mentioned that your home is "yucky" (I've been there). You can spend today cleaning some of your home. You can type 'cleaning motivation' into youtube and there are so many things you can listen to in the background whilst you clean. Take on one room at a time. It will be exhausting, and you might not know where to start - but making a start is really important. Once you start, you will find it easier to continue. I find when my surroundings are clean and tidy, my brain has space to think and I'm not so overwhelmed.
Maybe writing a few lists can give you some motivation too. I write lists for everything. I write down the things I need to do that day/that week and i take satisfaction in crossing things off my list. Having lists might help you get back on top of things including your thoughts and feelings.
I hope the love you have for your children gives you the motivation to seek support to help you through this rough time. From what you have said, your child/children are what is stopping you from 'disappearing'.
There is no overnight solution, and there is no magic pill that takes all of this away for us, but there is light at the end of the tunnel. Small steps and support from the right places can change your life.
Please hang in there. Better days will come.
Wishing you luck and love on your journey x