It realy is a terrible thing to lose someone you love so much, it seems like the world has ended and you are sort of left there - in limbo alone. I remember looking after my wife, and living in a seat by her bed in hospital, and remaining there for a long time until she passed away, so I guess I can understand a little of what you are going though.
I learned some things. Looking after someone who is very ill and relies upon you is one thing. Doing everything right, seeing what needs doing, raising their spirits, managing their treatments. All of that is important and one tries as hard as one can to get it all right, even mundane things like their laundry
By the sound of things you did get it right, and when you knew you were not going to be able to give her the support she needed you called that ambulance. Having nothing left to give and seeing your mum in the correct place was exactly right, nobody is an inexhaustible fund, no matter how much we would like to be. I relied upon the nurses and hospital staff to care for my wife and I cared alongside them, it was all I could do.
Now things are different. The things you talk about, houses, rents, even jobs are not in the same league. If you do not act efficiently, if you take time to simply grieve and do little then that is OK, your mum is no longer relying on you. It will all sort out in time.
The pets are important, and perhaps you should be looking at temporary accommodation for them to stop the need for the extra long commute (I hope I've not misunderstood what you are saying). Many animal welfare organizations do have respite and emergency accommodation facilities.
I rushed to do everything when my wife died and looking back it was an extra burden I need not have gone though.
Crying is natural, to be expected, it is a mark of grief and loss. It is also exhausting. I know your friends are elsewhere, is there one of them that you could simply talk to on the phone, not for any real reason, just to hear a voice?
I found my employment at that time was a refuge, and welcomed the work. Nothing makes it better but the occupation and change of environment did help.
You are very welcome here to talk as much as you would like