Well firstly I’m jealous – Liverpool is one of my favourite cities in Europe – awesome music, art, architecture, nightlife and people and you’re bang on the right age to enjoy it all!!
As for cycling as other have said loads of superb riding in the surrounding counties. Also doesn’t the Trans-pennine trail start in Southport, head down to LIverpool and then head across country to the East?
There’s also riding to be had alongside the Mersey and Manchester ship canals.
Some more stuff to do in Liverpool
Beatles museum (awesome)
Albert dock for dinner/lunch
The Philharmonic pub
Both cathedrals, make sure you go up on the roof of the Anglican
National Trust private tours of the Lennon and McCartney homes
See the Cavern Beatles at the Cavern
Visit Strawberry Fields and the churchyard of Woolton Church
St George’s Hall is magnificent
Pier head area has glorious architecture and hop the iconic ferry across the Mersey
Absolutely bloody brilliant city! Enjoy it!
Saxon