Rex,
If you have just got a shiny new PPL(A) you will still have to do the hour building bit:
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2 Before commencing a CPL(A) modular course an applicant shall:
(a) be the holder of a PPL(A) issued in accordance with ICAO Annex 1;
(b) have completed 150 hours flight time as a pilot
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Have fun in Florida, when you are building your hours dont just drill holes in the sky though. Plan the flights properly, be hard on yourself and keep within the tolerances you set for yourself (Height ±100 feet, Tracking on radio aids ±5°, Heading ±10°, Speed take-off and approach ±5 knots all other flight regimes ±10 knots are good yardsticks)
If you need any ideas what the JAA ATPL questions are like have a look here :
http://www.geocities.com/bigredjumbo/index.html
Good luck