I am a working father such as yourself. It was hard to find time to study but that's where my great wife came to my rescue. After reaching home from work she took care of our kid and let me study for 2-3 hours on weekdays. On weekends I studied about 6-7 hours. This went on for 4.5 months. Good news for me and more importantly for my wife was that I passed in my first try (April 2018)
Know that it's definitely probable to pass PE while working and fathering. You've got to have your partner's support; so lean on your wife for a few months to buy study time. Don't feel too much guilty in asking for her help because she's also a stakeholder when you actually become a PE.
Study material-wise I used school of PE for review. Was well versed with references I took to the exam. Solved a lot of problems from PPI, School of PE and NCEES practice exam. Took timed practice exams which was difficult as I couldn't find 8 straight hours of free time. So I separated AM and PM sections and completed each in 4 hours.