Go for a run pushing your kids in the stroller (even more cardiovascular benefit than just running by itself tbh). Do a bunch of squats at home while cradling your toddler (it becomes funtime for them, like they're on a mini rollercoaster ride). Take your kids for a hike, whether they're tiny and need to be brought along in a baby carrier or they can walk by themselves.
Basically, you can make it happen if you really want it to happen.
Plus, going for a walk/run in the stroller with Dad has to be developmentally healthier than staring at a tablet on the couch.
For anyone literally in this situation: start small and consistent. Your goal is not to pencil in 10 hours a week of cardio. Instead, try to do 30 seconds of the same calisthenics exercise with your child before work/school consistently for 6 months. Perhaps pushups.
Over time you'll find the 30 seconds grows because you want it to. You might learn that warming up with jumping jacks helps you do pushups more comfortably. You might watch videos with your child about pushup variations and incorporate them into your routine together. Perhaps invest a few $$ into small equipment to support activities you're already doing, like pushup handles. Or maybe an over-the-door pullup bar.
Your routine won't be "optimal" in the 600 minutes sense, but a suboptimal routine that you do consistently is infinitely better for you than an ideal routine you don't, and it can expand/contract based on your needs.
Upon reading the article:
> The average age was 57 years and 56% were female and 96% were white.
My take is that all this study says is that's kind of late to try to tackle this problem in one's 50s. That being said it's nice to know that I could maybe get a 30% reduction if I were to start spitting my lungs out at this age doing 10h of intense cardio.