Post in direct with your new postal code and they should be able to give you an idea of what you qualify for. Or you can just try to qualify by address on Bell's website: »
www.bell.ca/Bell_Interne ··· t_access and click on Verify.
As anywhere, some parts of the town will have better service than others. But Belleville is central enough that it should have fairly decent service, and may even have some neighbourhoods with FTTH.