I started getting into comics a few weeks ago and I hear that the characterization for Jason is pretty inconsistent , do you have any in particular you think is good or ones to avoid ???
Yaaaay, new comic fans! :D
Jason’s characterization is very inconsistent, unfortunately. I think a lot of writers just used him as a plot device without any thought of how he was depicted by Winick when Winick chose to bring him back.
In short: Read Jason’s appearances in Batman (some are collected in Batman: Second Chances if you can only buy trades), but you can skip his appearances in Detective Comics. Read anything involving Jason by Judd Winick (Lost Days and Under the Hood are collected in trades).
But for a more extensive answer, check this out.
Also avoid New52 Jason like the plague. He’s not so bad in Batman Eternal, but he’s pretty insufferable in Red Hood and the Outlaws and in Batman and Robin Eternal so far.