My DS is 3 and goes to a CM two days a week and on those two days I'm at home.
Normally I would be at work but I'm currently off sick (pregnancy related) and have been for about 9 weeks now.
On my two days off I don't use them to do all the housework but instead use them to just rest and enjoy not being at the beck and call of my child for 13 hours straight like I usually am.
DH does the drop offs at the CM on those days but I don't get a lie-in as I'm still up with DS from 6am and it's me who gets him washed and dressed and feeds and waters him and sorts out his bag and packed lunch etc. Does your DH not do any of this on the day childcare is used or does he literally stay asleep in bed and leave you to get your child ready and yourself ready? If he goes that's really poor of him.
On the days I'm home without DS I maybe spend 1-2 hours doing housework jobs but the other 8 hours I tend to just waste away.
DH does CM pick up on his way back from work and they're home about 5pm. DH cooks dinner whilst I play with DS and then I will go bath time and bedtime too so DH will get a good two hours free of childcare duties when he gets home. Once DS is asleep I then go and wash up after dinner.
On the days I'm at home with DS I try and get household jobs done throughout the day and as long as I've done at least one load of washing, the washing up has been done and the kitchen floor is clean then I'm happy with that. DH is home from work at 5pm and he tells me to go and have half an hour quiet time upstairs with a cup of tea and a magazine so I can have a breather from being with DS all day. I love that half hour
DH then cooks dinner whilst I tend to DS and again I do bath time. Maybe two nights out of the five that DH had been working he will put DS to bed and do stories etc and that's typically when he can see I'm frazzled from having had a long/hard day with DS.
Whichever one of us is doing bedtime the other one will tidy up a little downstairs in the lounge and tidy up the playroom etc.
At weekends everything is sgated our pretty fairly though DH does let me have a lie-in on both Saturday and Sunday as he's an early riser anyway and he knows I'm up from 6am each morning too and it's me who deals with 90% of the night wakings though thankfully they only happen a few times a week.
We use the weekend to do our big cleaning jobs, the kitchen, the bathroom, the hoovering etc and we split it up between us and then the rest of the weekend we just spend doing family things together.
In general things work out fairly. DH knows that I do a lot more of the childcare than he does so he makes sure I get downtime from it as much as he can. At some point over the weekend he takes DS out to soft play and swimming, just the two of them so I can have 2-3 hours to myself. He's happy to cook every night when he gets in from work as he feels that at least then he's contributing something to the household tasks in the week because I pretty much do all the other jobs.
Anyway - I just wanted to give you an insight in to how it works for us seeing as our set-up is quite similar to yours.