I recommend getting a print copy of SICP, though, and working through the examples in a real DrRacket environment on your computer.
IMO, if you end up going deep in the "lispy" direction after playing with Racket, you'll probably be drawn to Clojure as it is the Lisp with the biggest "production use" community at the moment. So long as you can put up with some JVM warts, it, too, will be a good experience.
I have to second this. Racket is absolutely the best place to start. There are great books for beginners, and the documentation is top notch.