What you want to do is start off transcribing some simple solos.
Forget about transcribing the melody for now.
Melody playing tends to have alot of rhythmic complications that you
don't need to deal with in the beginning. Just learn the melody from
a lead sheet for standards (not for jazz tunes like confirmation
since the lead sheets are usually wrong. Learning those melodies
presents alot of problems).
I recommend starting off with medium tempo Chet Baker.
Slow chet baker has too many rhythmic problems like playing behind
the beat, etc.
By transcription, I mean writing out the notes on paper.
Some people transcribe by ear and never write them down but my experience
is that that leads to really poor transcriptions and the people that do that
often exhibit alot of misunderstandings in their playing from having
done that.
reed