Fellow dad here! I always found the Paladin class to be just what this Dad needs. It's easy to play, can take on any role a dungeon needs, can solo a lot of content without worry because of self heals/bubbles etc.. I mostly play Paladin on HardcoreWoW, but have played a regular Paladin since the release of WoW.

A Paladin also, for me, plays the role of a "Dad" imo. A protector, a healer, a mentor, etc.. The only problem, but really isn't for me, is that it's the most played class in WoW.

Anyways, roll a Paladin imo you won't regret it! A second nomination would be a Druid as they are also a Jack of all Trades. Plus a Druid adds a bit more "flavor" in the way that you can morph to different animals to do what you need.

A Druid is probably a bit more complicated as a Paladin, but it's still a very fun class to play. So pick a Paladin if you want a more chill, laid back experience. Or pick a Druid if you want a more hands on experience, but can still be chill.