I'd give the CDs a miss and go to youtube first. Where to begin? For piano, look for:
George Shearing
Oscar Peterson
Errol Garner
Dave Brubeck
Bill Evans.....etc.
Then more contemporary players like Keith Jarrett, Herbie Hancock, Jamie Cullum, Brad Mehldau, Gwilym Simcock, Jason Rebello etc.
For general listening, listen to artists like Nina Simone, Billie Holiday, Sarah Vaughan. For a treat, watch Art Tatum playing Tiger Rag! Then there's Duke Ellington, Louis Armstrong etc. Also listen to the better known "jazz" tunes like Georgia, Misty, Night and Day (plus anything by Cole Porter), Autumn Leaves, Satin Doll, Shadow of your Smile etc.
In the Abrsm syllabus, the Blues features heavily, so take a listen to CJam Blues, Barrelhouse Blues, Watermelon Man.
Happy listening