Hey peillo
If you are starting out on Jazz Piano then i would recommend "JAZZ PIANO FROM SCRATCH". Its quite a long book, but contains useful examples of different Jazz Styles, from rock to blues to swing. Also it contains a CD which allows you to listen to the examples, and you can also play along to some of the exercises.
The Book teaches simple Jazz Scales, and shows you how to improvise, with different tips and techniques. It also contains a good list of CD's that you can listen to.
The book costs around £20 - £25 but is well worth it if you are serious about Jazz Piano. Also i would reccommend getting the Jazz scales book, as alot of Jazz Improvisaion is based on jazz scales, so they are a fundemental part of jazz
A regards to Jazz for your 'Cello I can't helo you there

Hope this helps
Ben
Jazz Piano From ScratchP.S
I Love 'New Orleans Nightfall'