The "now" provider is actually the supplier to the previous occupier, so there is theoretically the issue of data confidentaility. If you can get that info, so much the better. if not go to the local REC/DNO/DLH (dont ask") , ignore the websites, and ask for a quote. You can then take that info and feed it into a website, but probably better to wait for at least a quarter. Typical consumption figures are based on the type of property, rather than the occupier. (That's how the supply network is designed!)
Despite what the websites say, if you ask for an online, direct debit tariff, the savings between suppliers are marginal.