As a parent of 4 children 18,16 5 and 4 and having done UK to NZ - several times with babies in tow (12 times last count) and having travelled round the world with them too I feel "reasonably qualified" to offer an opinion.
Firstly with young kids on holiday - unless you budget for a little extra help ( vetted and reliable of course which in itself is a challenge) then the holiday is ALL bout them and NOTHING about you and your needs and expectations. So the answer is simply don't go and save your money for a weekend trip away with your man and leave the kids with grand parents etc.
All you are doing is swapping your home for another home abraod with different lay out different surroundings language barriers culture differences etc etc. Its a potential nightmare.
However if your budget can stretch and you use a reliable operator you can go and do the whole repsonsible parent thing but then one a day get a nice 3-4 hour break just to sit by the pool relax read sunbathe etc etc.
You MUST have this time per day to yourself otherwise its no holiday at all.
The change in all of this depends on your kids maturity etc etc. Mine at 4 and 5 now can reliably entertain themselves by the pool - both swim like fish and whilst I dont switch off completely I do manage to sit and relax and just have the "one eye" over the edge of the novel to keep watch on them.
Each child of course is different however at some point they potentially will become less of a "chore or burden" when you travel abroad for a holiday. Also when their older they can register in kids clubs every morning for a few hours again giving you that well earned break.
Also DON'T spend that well earned break time making beds and cleaning up ...you're on holiday ...get daily maid service for a couple of hours each morning!
Anyway - sorry for prattling on - but I so feel for the mums that have had issues with how they feel about their kids being on hols with them.
Fire me more do's and don'ts if you like or challenge me if you want and I'll try and answer your comments.
This year we are booked for a 3 bedroom small villa - shared pool - cost me 650 euros a week. Paid 9 euros extra an hour for a daily made and 20 euros per week for linen change through the week. Got the kids booked into kids club each morning for 4 hours and they get a mid morning snack.
Have booked "me time" activities for every other morning and will veg by the pool when not doing an activity.
Now thats what I call a half decent break from the kids.