I started brewing in 2015; I had no kids at the time. Now, I have 2 of them - aged 5 and 1. I just checked my notes and it looks like my brewing frequency didn't decrease much from my roughly 1-brew-per-month pattern until the 2nd kid came along. I've only brewed 5 times in 2022, with no more sessions planned until the new year.
I have definitely made adjustments to make it possible to stay in the hobby. Some highlights:
Plan, plan, plan. Get the ingredients and everything you need before you need it. I hate not supporting my local brew shop but sometimes I order ingredients from the internet to save me the 30-45 minutes it would take to go out and buy them (every minute counts with kids!) I try to pick up my RO water alongside some other errand(s) in that part of town so it has no real effect on anything. I do this even if I don't have a specific brew planned - I just get it done at the first opportunity so it's ready. Also, make sure all your equipment is ready - your kettle is clean, valves are assembled, fermentors are ready, etc. These tasks can be done beforehand on a random weeknight. The moral of the story: it's a lot easier to "find the time to brew" if it's just the brewing itself, without tacking an extra lump of time on the front of it to gather and set up stuff. Lots of little tasks that only take a few minutes by themselves can add up.
I use a lot of dry yeast now. Farting around with starters and harvesting yeast takes time. I still do that sometimes, but there are lots of great dry yeasts that are super convenient and add no time at all to the process.
Three words: dry malt extract. I went directly into all-grain when I started brewing and there was a time I would have turned up my nose at the suggestion of using extract, but I'm in a different world now. Would I prefer to do all grain? Absolutely. Do my extract results match my all grain results? No. Do I (and my guests) enjoy my extract results? YES. Bottom line - extract has been a key enabler for me to continue making beer during such a hectic time of my life.
Natural wort chilling. I haven't used my immersion chiller for over a year now. I finish my boil, put the lid on the kettle, point a fan at the kettle to blow air over it, and go to bed. Usually 12 or so hours later, the wort is at the perfect temperature to pitch yeast. This is great because it effectively breaks the brew session up into chunks, which opens up more opportunities to brew. If I'm using DME, I can fire up the kettle at 9 or 10pm to start, and still be in bed at a decent hour.
I've always been a bit of a night-hawk, and that fact has come in very handy with brewing. Once the kiddoes are in bed, much more can get done. I don't have actual data but I bet 80% of my time spent fiddling with homebrewing is done later than 9pm.
Having an understanding spouse is absolutely essential. No matter how hard you try to minimize the impact of your brewing on the operation of the household, there is no getting around the fact that it takes hours to get a batch of beer from ingredients to kegs or bottles. If he or she is against time being spent on homebrewing, then trying to fit it in is only going to put you on a collision course with destiny.