Clarinet: Vandoren M30 Lyre or M13 Lyre (Prefer the 30 for HS) and I tend to prefer rovner ligatures just for durability. I have a Rico H ligature that I really like personally. If a kid is that good that a new ligature type is in their interest look at the Vandoren line.

Bass Clarinet: Fobes Nova's are pretty solid.

Saxophone: Vandoren AL3/5 or TL3/5 for Alto and tenor are good mouthpieces for classical. If you're looking at Jazz look at the Meyer Hard rubber.

It used to be the C*s were the main go to mouthpieces. Selmer isn't nearly as consistent as they used to be, but you can still find some S80 C*s that are good. The Vandorens are far more consistent and better bang for your buck in my opinion.

If you're looking for cheaper check out the Fobes Debut lines.