There is no such thing as work, family, training balance. A better way to term this would be “work, family, training INTEGRATION”.
It all depends on your goals, but I find shorter workouts more frequently to be more beneficial like @ActivitiesGuy. Just easier to commit to 20-30 minutes daily, vs having a 60-90 min session ESPECIALLY if you have to go to a gym.
But since you have a barbell and dip/pullup station you are set.
I would do 30 minutes of training a day with some combos like this and just rotate through the days. You can get strong as fuck while keeping your sessions to under 30 minutes for sure!
Deadlift & Dips
Front Squat & Chin-Ups
OH Press & Rows
There some good ideas here too: