Oh, my, Luffy. You have a huge treat in store! The Liaden Universe(r) is the universe in which Sharon Lee and Steve Miller have written some 23 novels and dozens of shorter works. There are several "entry points" into the universe, depending on your tastes and preferences. The first
published book was
Agent of Change. The first book, chronologically is
Crystal Soldier (but that's really a precursor and not the best place to start, IMHO.) If you like YA novels, the start of the "Theo Arc" is
Fledgeling, and then there's the Jethri pair (with a new one coming) that starts with
Balance of Trade. Or, you could start with the Romances, probably
Local Custom.
Really, there aren't any
bad places to start. If a bit of action-packed space opera is your preference, go with the published order. But for a good deal more about the underpinnings of Liaden society and its rules and norms, the romances are not a bad choice. And for a view from the Terran side, starting with the Jethri books is not a bad way to go, and the good news is that the first one was written as a "one-off", so stands mostly alone, though it has a direct sequel that was written many years later. And Theo starts out in yet another, very different, place, but ends up becoming very much a part of the main line story.
Fledgeling and
Agent of Change are both free, so there's some rationale to starting with one of them.
Wherever you start, you'll find yourself with a fascinating series that is character driven, and you'll find several of us here who will happily discuss anything and everything Liaden.