Hello and /welcome!
Fellow parent here. I find that I have ample time to do XP and such by just playing for 2-3 hours at night after the kids go to bed, but it has definitely hampered my ability to do end game stuff or to participate in many pre-scheduled events, as people tend to schedule them to begin at times my kids aren't yet in bed. As long as you can enjoy your time just leveling until you find players that play the same time as you or you take the lead in organizing events so they happen on your time table, I don't think you'll have much problem enjoying the game!
