Most of the places I've worked have been first come first served for holidays, not whether you have kids or not. So if you've got school-aged kids, you have to organise yourself and book early. That doesn't seem unreasonable to me (I tend to plan things anyway so it's never been a problem for me to make sure I book May half term week early for example). If I get beaten to it, I just have to find a different week.
I work from home - I go into the office one day a week. My husband works full time in the office but does 3 longer days and 2 shorter days so that he can get home early to be there for our son when he gets home from school. Although I am now based at home, he's kept that working pattern. But we both do office jobs. It's difficult to work from home if you are a teacher in a school, or work in a library or a factory etc. But there's no reason to be stuck in an office if you can work from home. I am far more efficient when I don't have to waste half the day commuting.
I had a black toenail last October and it took until May this year to fall off. I didn't go to the doctors with it, but I have to say that if you look at any of the US websites they give you dire warnings about gangrene if you don't get it looked at! I put a couple of plasters over mine and went running only a couple of days after it happened, when I would have gone running again in any event. I had to make sure I kept it well "packaged" for a couple of weeks.