The order I would recommend going in is Innocence Lost, Target X, New X-Men, X-Force, and then Liu’s X-23. There’s a lot that happens to Laura in those series that you’d lose the context for if you skipped them and just went to X-23. Plus, they’re all excellent series that build a wonderful foundation for Laura.
As far as quality, Liu is widely considered to be one of the best writers for Laura. She is one of the last writers to maintain an introverted, vulnerable yet deadly personality, and she handled Laura’s struggles with care. Sometimes she went a little overboard with the “poor Laura”, and some of her storylines weren’t very good, but overall it is a solid series and notable for building up her relationships with Jubilee and Gambit. But again.. I strongly encourage you to read Kyle & Yost’s series and minis featuring her first.