From the Delamere Street Travelodge you head left straight into town along Upper Northgate Street and then Northgate Street. You will pass the Red Lion in Northgate Street and the Pied Bull and a few other old pubs, pass the Town Hall into the centre. Turn right down Watergate Street and you will find various bars and pubs, on two levels as some are on the Rows.
Or head straight across The Cross into Bridge Street where you will find more, and carrying on into Lower Bridge Street even more, including the Brewery Tap if you like specialist beers.
I would say those are the main central areas, though I am sure others will point out more. Have a fun trip!