How old are your dc? I think some people are not cut out to be SAHP. Are you still looking for a childminder so that you can start working again? I get the rage thing... for me it's partly because of mental health problems and getting the right meds helped a lot, and partly because I battle to let go of the picture in my head of how things are meant to be.
So my child refuses to put on shoes and I lose it, because SHE MUST WEAR SHOES. Or people will judge me, she will get ill, her feet will be cold... you know what? The best way for her to learn that going without shoes is uncomfortable is to let her go without shoes. It's not the end of the world. You can take the shoes in a bag and let her put them on when she's ready.
The trick is to lower your standards and pick your battles. I know it's difficult when you're tired and stressed and you just want this child to do as she's told for once without arguing about it but it's worth trying to cultivate the habit of taking a deep breath and looking at the bigger picture. E.g. child is tired/hungry and the house is knee deep in toys. Trying to get her to pick up the toys now will be a disaster so ignore it and organise food/nap first. Then when she's in a better mood, make a game out of picking up toys - let's see how many toys we can get in the basket in 5 min! Challenge them - ds, I bet you cannot get your shoes on before I've finished changing the baby's nappy.
Try to find reasons to say positive things to your children (without being insincere) - thank you ds for playing nicely with your sister / wow dd that is such an interesting picture you drew, I like the way you used the colours / tell me about your Lego house ds, I've never seen one like that before. And spend time just being with them, ignore the mess and the housework and whatever else. If you can do that for a portion of each day they will be more cooperative when you need them to be and things should be a bit less intense.
Is getting a cleaner in once a week an option? Tricky I know when you're not earning. Do you have friends/family who can take the dc's sometimes so that you can have some "me time"? And spend that time doing something you enjoy - tea with a friend, a facial, reading a book - rather than trying to get on top of the housework.
Sorry that turned into quite a thesis. I hope some if it is useful to you.