You should expect that any employer who will put you in a room with children is going to conduct a background check and find convictions for DUI.

You may be able to expunge the older DUI and get that out of a background check (at least for some employers). Talk to a criminal defense attorney about that.

Otherwise you are stuck with what you have in your background. I'd suggest taking up other positive activities (e.g. volunteer work) to show you are overall a good person who made a couple bad decisions. I'd also carefully think about how to explain around the DUIs.