I haven't looked at any onf the links on here yet, Graeme (I will) but I have used the A580 East Lancs from just east of Liverpool as far as Patricroft. It's a proper cycle lane all the way, though you do have to cross some side roads, which is easy enough. I've also used the TPT and, as Si mentions, the Widnes section has recently been a bit of a bugger. Awaiting developments!
Peter