For reference I have a 5 year old, a 15 month old, and a 21 year old.
I have three different gyms I frequent: a private pl club an hour from the house, a public 'hardcore' gym 20 minutes away, and a membership to a large chain with multiple locations, including one across from my office and one ten minutes from home. I would like to have a set up in my garage as well, that will happen sometime in the next year or so.
The good thing about the public gym is after 3 months old the kids can go in the child center for two hours per day. This gets utilized heavily by my wife and sometimes myself. Yes, I have had to change a poopy diaper while covered in chalk in between deadlift sets.
How much time you miss is due to priorities. When the five year old was born I took a week off. Whith the newest one maybe three days? It helps a little that my wife is currently stay at home, but even when we were both working I managed to get all my sessions in. It's just a matter of time management, and support from the spouse.