My kids are similar ages to yours and I'm also struggling with the same suicidal thoughts. When I had my boys, my life was a million times different. Things happened that were out of my control and now I'm on the brink of killing myself. I'm trying everything I can to see if I can find help - anywhere - anything. I also have access to 'the gold standard' method, which makes any decision harder for me.
At the moment, despite my shit mental health, I think my kids are better off with me being here. One day, possibly soon, I'll change my mind and put myself firstā¦.. but I want to die knowing I've tried everythingā¦.. I don't think I could go peacefully if I hadn't.
As another poster said, not many on the forum are in this position. There's not an easy solution, but the fact you're asking, may mean you're still searching. Ultimately it's going to take guts to live or die, but if you can manage it, don't be impulsive and see if you can wait until they're at least a bit older and have more coping strategies. I feel your pain.