Is there no "self storage units" you can use? these would only cost about £5 - £10 pw and you could put things in in bits or move it all in one go and then go and take it to your new house.
As for HB not paying on two places, you just need to do it as "change of address" - what my council did when we moved and were claiming HB was cancel the claim at the old address from the date you left. You then have to put in a new claim, wait for rent officer, provide proof of rent etc, but as long as you give them all the proof etc, and they only need the rent officer to come out to you, then they HAVE to give you "payment on account". This will probably be a lower figure than what you are actually entitled to, but they have to redo it when the rent officer's been out, so you get a nice lump sum if they've initially undervalued it. Keep hassling them, or they'll ignore you and you'll be left with no money for months like we were.
I have read somewhere on the net of "men for hire" (!) - don't know if it covers your area - these will act as "handymen" - packing, lifting, carrying, driving a van to new house for you.
When I was in this position, I got a flat, moved stuff on my bike everyday (it was in the same town), so he wouldn't notice. (Probably told you all this on the old thread) Anyway, when I finally left, the police let me load their car up, and then came back with me to get the rest, but I had my dad's car to fill up then, although the police were quite happy to let me put bags of clothes in their boot etc. Not sure if they're supposed to do that in general, but before I left, I'd put boxes and my bike in a black cab and rode the bike back etc. I did it whilst he was in the pub/too drunk to notice what I was taking etc. Still remember balancing 2 table lamps on handlebars, tied on with string.
I did lose a lot of posessions and important papers / bills etc. because when I actually left, I was in a state and forgot them and he hid them cos he knew I would need them and tried to blackmail me to go back in the house without the police - which I refused cos I knew he'd hurt or kill me if I did. I have also used our local furniture recycling charity for cheap removals when moving house e.g. I gave them £15 and a few bits of unwanted furniture and they transported the rest. Is there anything like that near you? I had a budgeting loan also, and you can pay it back for a few weeks, then tell them you can't afford it and they will let you pay it back at a reduced rate - just takes longer obviously.
Have you got local papers with "free offers"? We have "swapshop" ads - you could ask people to take the furniture to new house and pick up your items from your present house. Sell anything you don't want, put money towards removals - if he catches you, you're having a "clearout"....
Have you got stuff in your loft? That's easy to get out as he won't miss that. Stuff in drawers/cupboards he doesn't look in etc.
Is the biggest problem having no one to physically move stuff/extra pair of hands etc?
If it's money, and there wasa no other choice, I would say get a Provident loan etc, but they'll only give you £500. Once you've signed for the flat, that's legally your address - so you would have to make sure they only had your new address to deliver money and collect payments to, as otherwise the agent might turn up at your old house and drop you in it.