The Lib Dems are campaigning on their record of running the city, Capital of Culture preparations and their opposition to the controversial merger of police forces.
Cllr Bradley added: "The public knows Liverpool is a different place eight years on. People who voted Lib Dem before are content to do that again, because they know the city is going from strength to strength."
Labour are also campaigning on the Lib Dems' recent record, but on a much more critical line.
They attack the Storey-Henshaw row, which ended with the council leader standing down after being accused of bringing his office into disrepute and the under-fire social services department.
But Labour group leader Cllr Joe Anderson is realistic about his party's chances of regaining control.
He said: "We are working towards making Liverpool a hung council by 2008. It would take an enormous swing to Labour for us to take control this time.
"But I do think people out there believe this city is being mismanaged and noticed headlines about the Fourth Grace, housing repairs and social services.
"There is only one alternative - a return to a Labour administration that has learned from its mistakes in the past and is now determined to work with the government and continue Liverpool's transformation.
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