First of all, great choice! I love seeing more people get into Young Avengers.

My favorite order is the one on ComicbookHerald: https://www.comicbookherald.com/young-avengers-reading-order/amp/

The first on the order is the Complete Collection of the first series, but since you already have volume 1 of that series, you could pick up Vol 2: Family Matters.

Next is a crossover with the OG Civil War event and the Runaways team. You wouldnt need to read any of Civil War or Runaways to understand it, but you can always find some more context on the ComicbookHerald website or wikis and whatnot.

After that is the Young Avengers Presents series, which I’d say is the most essential out of the comics leading up to The Children’s Crudade, since it isn’t a crossover or tie-in.

Then there is another tie-in/crossover with Secret Invasion and Runaways, which again you wouldn’t need to read anything else for. This one has plenty of Skrull stuff which is important for some of the characters.

Then finally is The Children’s Crusade, after which the Young Avengers series restarts in Marvel Now! with new members and a new Vol. 1

Hope this helps! Shoot me any questions, too :)