Well done OP, you have done the right thing.
I left my abusive ex in 2010, taking my daughter and moving into refuge. It was the best move I ever made. I had no money either, no nothing, I claimed JSA and registered myself homeless with the council, but only after I had taken time to catch my breath after leaving. Four months later I bid on a little 2 bed property and 'won' it.
Since leaving I have gone from strength to strength. I am now in full time employment and not only have a job but a career, me daughter is healthy and happy and I have never been happier.
My advice to you would be to treat yourself kindly, don't rush or push yourself to leave refuge until you are ready. Embrace the experience and take all the support available while you are in there, this will help reassure you and build your confidence.
Your housing needs will be taken into consideration when you register homeless and you will probably be eligible to bid on a one bed property, of which there are usually plenty. Only move into your own place when you feel ready, when you feel strong enough. From there you can look for work, or training if you feel your skills are outdated, this will enable to you to seek employment with confidence and also give you a valuable addition to your CV. There is support available every step of the way, you just have to ask. Don't worry yourself by over thinking, as soon as something pops into your head, seek an answer from someone.
I made plans and set goals whilst in refuge, to remind me that my situation was temporary, a stepping stone. Always try to look ahead and not back, apart from to congratulate yourself on how far you have come. You have a great future ahead of you, exciting and abuse free. When I read your post about getting up, putting the kettle on before going for a walk, it reminded me of the early days and how wonderful it was to be free. Free to do whatever you like without fear. That's you now, for the rest of your life 