UC doesn’t reimburse childcare costs for a household where nobody is in paid employment; paid work is actually in the eligibility criteria for UC childcare costs help. So there isn’t a bunch of unemployed single mums putting their kids in nursery while they do nothing all day every day. Which seems to be what people think. You have to be working to get that particular bit of help.
Childcare affordability in this country is dire, and the UC change is actually just tinkering around the edges for those of us who meet the eligibility criteria for partial help with childcare costs. It’s better than nothing but it’s not what’s really needed. The entire system of provision of good-quality early years childcare needs huge reform. For example, if we had a better and more accessible childcare system, you could easily leave your DC and go out to work as well. Anyone could, unless they didn’t want to, in which case it’s hard to see why they’d be annoyed about other people who are in work getting any help to access childcare.
I work full-time and earn around as much as your DH, and the reason I need to put my DD in childcare is because I don’t have a partner staying at home to provide childcare for DD.
UC allowance is a max of £640-odd per month for childcare for one child (reimburses, doesn’t pay upfront) - but full-time childcare here, as in lots of the country, is ~£1500 per month for the lowest-cost option. I can’t afford that even with UC reimbursement, so DD is getting two days a week with a grandparent, as that’s the only way I can work full-time - but grandparent is in their 70s and has moderately disabling health issues, so DD’s activities are very limited on those days.
I've given the whole subject a lot of thought over the last year - and have come to the conclusion that even if I was unable to increase my own salary (the potential to earn more in future is why I have no choice but to be full-time now), it would still be absolutely great to have a partner who was available to provide DD’s childcare. Or even a partner out at work to earn enough to cover DD’s childcare costs!
I would trade places with you in a heartbeat. You and your DH might feel a bit better about your situation if you counted your blessings, instead of seemingly imagining that us struggling households eligible for UC are actually not struggling. Maybe do some thought experiments on the topic of how hard life would be for you if you were suddenly a single-parent household (especially with only one living grandparent). But honestly, please focus on counting your blessings. You have more options than many.