Would the LG phone that I buy here in the UK work with a Canadian company in Canada?

I am currently living in the UK, but am tender back to Canada in September 2010. I am currently thinking of buying the LG Cookie. I currently have a Samsung buzz that I got unlocked when I switched from Orange to Virgin movable. I am thinking that the same would be possible for my LG Cookie, if I’d get it unlocked back in Canada. The next part of my question is if that buzz would work with Fido or Rogers back in Canada.

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