I'm going to hazard a guess that the need for "visiting" each other means you met online and live in different cities.
In that case, as part of the process of moving in together, I suggest that at some point in the future, after many visits and family talks, that one of your families move to the same city as the other but in separate homes. That way you have the chance to spend more frequent time together, before putting the kids in a situation that could be disastrous if it doesn't work out.
The idea being, if you move in together from a different city and things don't work out, you're still going to end up living in that city as you will have already changed jobs, schools, doctors, etc.
I've heard too many horror stories of people moving across the country into someone else's house after a few long-distance visits only to realize that the relationship wasn't what they thought it was, and living together wasn't what they expected.
“As I am sure any cat owner will be able to tell you,
someone else putting you in a box is entirely different
from getting into a box yourself.” —bisexualbaker