Are you saying there are no ad blockers on iOS? I can think of two ways and I am not an iOS user: 1) you can use RSS and open in Safari which has full adblocking support, or 2) you can auto download the videos. No ads in downloaded videos.
What do you mean by "without root"? Could you give me a specific example?
Out of curiosity, what is the reason for you or your children not willing to give up the YouTube app so that you can use a browser with an ad blocker installed to avoid ads? What is that feature that you (for yourself and your children) or your children prefer over not having ads?