Being a SAHM when your kids are all at school is harder than working?
I find that hard to believe to be honest.
Have some of the posters on here failed to read the OP, there's lots of people saying she gave up her career to facilitate his. OP states that she did her degree in her home country, moved here worked a bit on and off then had children and gave up work. She doesn't say that she was in a career, working towards or particularly interested in one.
She makes clear that her DH is fine with whatever job she gets, she just doesn't want to get one that she thinks is beneath her.
She makes clear that their financial situation currently doesn't allow them as a family to do what they want - buy a house and go on holidays.
So why are so many people making out that OPs DH is unreasonable for asking her to contribute to the household finances, or that she is perfectly reasonable to want to just stay home wasting all day everyday doing not much of anything while she waits for her children's school day to end so she can go pick them up?
Part time work is an achievable goal, it may be difficult to find M-F 10-2, but that isn't the only option, she could work 8hr days on Tuesday and a Thursday for example and the kids go to before and after school twice a week, or they may have family who could help.
Like every other family with 2 working parents they would need to use holiday clubs for some of the holidays but there are 13 weeks of those, between the 2 parents they will have at least 10 weeks A/l which means 3 weeks holiday club, make it 5 so they can have a couple of weeks all together, spread the cost of that over a years worth of the extra income into the household and they won't negate each other so it will still have been worth working, especially if using an Ofsted registered holiday club and the govt tax free childcare scheme.