Solo I would focus just on clearing the hall, even if means the other rooms get worse again, if necessary just put everything in bin bags boxes even if they are in some sort of order now in the hall, and just go for it! You don't need to declutter the hall, just move the stuff so you can get the washing machine in, that is your priority. When it is moved, then you might find it a bit easier to declutter it, if that is what you want to do, in due course.
I had much the same thing with the drain just two days ago. The whole alley was full of rubbish, and it took me two days to even get to the point of calling the drain unblocker because I had to move stuff if he was to get to the drain, get access through the shed. In the end I just moved the stuff and took it to the dump but it took me two days. Worst case scenario was that I had just moved it all into a heap and allowed him access but the thought of him arriving spurred me on to actually go to the dump (and not do various other things I might have done instead, which ALSO needed doing, like groceries, house cleaning, kids stuff, paperwork)
But now I am looking at a lovely tidy clear alley and an unblocked drain. It all feels worth it.
Today I did a bit more cleaning in the alley, and scrubbed the slimy paving.
I wiped worktops and hoovered downstairs, but mostly I had coffee with a friend and that cheered me up enough to do the other stuff. Dh and I have wrapped presents for our twins birthday today, always a source of stress for me, but he organised the presents this time and bought a M & S cheapy cake, which really helped. Ds2 is getting the original Risk, that's for CALIGOSTRO - the first time we have tried it in our house, the Star Wars Risk was impossible to understand when I bought it 4 years ago. Ds really is interested in learning the rules now that he is 15 but I still don't think I will ever get the hang of it despite being 50!
Grey my advice is to book kitchen man for a estimate, in three weeks and then it might be easier to tackle, otherwise will seem an impossible goal.