I'm in south Liverpool.
My route back from Cheshire usually goes up the A56 from Frodsham, past the Holiday Inn on Wood Lane and onto the cycle paths at the Wood Lane / Beechwood Ave junction. From there it should be a simple job to follow the paths through to Runcorn Spur Road and on to the bridge, but I seem to take a different wrong turn every time. The last time I tried it I somehow ended up going past Weston Point
Good God, that's lost! I live in Weston Point

If you go through Beechwood past the Holiday Inn, turn left at the top into the housing estate and follow this map I've just done. Might be longer but you won't get lost.
Map!. Go through Beechwood to the bus depot on your right, straight on at the crossroads down to the next set of cross roads, straight on again then right at the end of the road. Keep going down to the pub on the corner (The Red Lion) and bear left there. Follow the road toward the train station, and turn right under the bridge and then left straight after that. Keep going over the mini roundabout and go straight on, not right as it shows (it's a bus lane, although I suppose it won't hurt...) Either way, get to the end, turn right over the zebra crossing then on the right hand side there's a sliproad off the bridge. The path on the right side of that will take you over the bridge. Job done.

It's probably quite a bit longer (and you're technically not allowed to ride on the path over the bridge, but everybody does), but at least you have some local knowledge to help you.
Welcome! During the week I stay in Northwich but work in Haydock so for the next couple of months whilst training for LEJoG I'll be commuting the 20 odd miles through Daresbury, Stockton Heath, Warrington, Winwick etc. Lots of traffic!!!
Yeah, they're all really busy places. Stay safe, I've heard a lot of people nearly or being knocked off there. My grandad was knocked off in Daresbury about 10 years ago - driver drove off and left him with a mangled face and a knackered arm.