peggotty, I think I am a bit like your dh, when tasks pile up that never get done and the house wallows in chaos, my stress levels go up and I get a bit shouty, especially when I perceive my dh is not pulling his own weight (not saying that you aren't btw).
I am currently a SAHM (whilst on maternity leave), and I understand how there are never enough hours in the day.
But as my dh works fulltime, I accept that if I don't initiate certain things (like tax returns, re-mortgaging, insurance, house maintenance), my dh will never find the time to do it. All weekends are chockers with chores (like ironing, cooking, laundry) and round-the-clock childcare of 2 under 5s. We would have to seriously neglect our children to do admin on weekends.
I know you are going to tackle it - which is great. It will just have to be baby steps, hacking around the edges, ticking off lists etc. You might not be able to do all of it yourself, but there is a lot of legwork you can do during the day. For example, get income/bank statements together for tax returns. Call the mortgage broker, get a range of quotes. discuss the best deal with dh, then you call for the forms, fill them in, so dh only has to sign. Post them off the next day. Find an insurance broker.
Also, do bits in the evenings, even if it is just 15 min, after your toddler has gone to bed. I know you are probably exhausted. That is the only time I can get sheltered time from dhto do that.
little-by-little, you and dh will get there. You might find yourselves breathing easier. Then use the savings you have made to hire a cleaner, lol!
BTW, my cleaner does not move furniture out of the way or wipe down doors or skirting boards either. I think your dh's demands on that front are not reasonable to ask of you, pg with a toddler. I believe that is just a red-herring.
If you have read Men are from Mars, I believe it says men are obsessed with fairness. So the sofa-bed thing, innocent as it sounds, may have played on his mind a bit, since he surely knows that things will only get worse once no.2 is here.
I wish you all the best.