Don`t know if it`s the one Mouse means,but there is an area next to Central Station,at the end of Bold Street,where bikes are allowed to park with no hassle.
There`s a few lock up rails,and space around the area too.
It`s only a couple of minutes walk to Lime Street station or the Adelphi from there.
Depending on your time scale/length of stay/paranoia about the bike,you`re always welcome to leave your bike at my house and get the train over...costs about a pound and takes about 15mins