Haggis,
WElcome to the industry.
You ask (specifically) about JAA training in Canada - well there is (as far as I know) only one place and it can take you from zero to CPL and part Instrument Rating in Canada.
Have a look at
http://www.pilotcollege.co.uk/ you'll find a link to their Canada training department. It's a British school, too - so you have some extra security if it comes to spending any money there as you'll have the support of the Trading Standards Office etc.
There are, in answer to your further question, numerous schools in Florida that offer JAA training from PPL level - and some of them go to CPL level, too. Have a look at the UK Civil Aviation Authority web site which lists all the approved ones - there's a book full of them at
http://www.caa.co.uk/docs/33/SRG_FCL_APPROVEDFTOS.PDF