http://goo.gl/maps/kjLUx
stu,
From Lewes station, do remember that you cannot take a bike through the tunnel (and live to tell the tale) so have to follow what this route tells you. Then, as you say, there is a superb cycle route along the A27, which must have cost millions to buy the land from the farmer and then lay the excellent smooth tarmac (all of which was wasted money as there is, on the other side of the A27, about 10 feet from the carriageway, a perfectly good road that has been there for years and has houses along it. Why they didn't just sweep the rubbish off that road and put up a few signs is a matter between the local council and the taxpayers, but I digress). The route shows you the little variation that takes you away from the main road for a few hundred yards, then you go "inland". These lanes are flat and delightful and have pubs and shops, all very pretty. There is a tea cabin thingy at the lake sometimes. You go past a pub with roses and chairs outside. Or possibly, you may wish to savour the Harveys ale. Up to you, Stu. Then note the route is incorrect as you cross the main dual carriageway coming to Hailsham, if you walk across the road there is a small gap in a hedge and a lovely flat road on the other side. It takes you straight into Hailsham, which TBH, is not the prettiest town but I have seen wprse. The road out of there through Rickney etc is flat as a pancake and protected by hedges from the wind, and you cross the main road at a roundabout and after that it is plain sailing to Bexhill. After today I'd suggest you take a decent lock for the bike as if you go into the pavilion (it's clean, dry, has loos, a shoppe, a cafe, etc etc, all very civilised) you cannot see your bike.
The main advice I'd give is avoid like the plague those fast dual carriageways around there as not only are they boring but they are like motorways and once you are on them you have to go some miles before you can get off.
Simon
I'll pop something maplike and possibly even waterproof in the post to you. After Brighton I'd like to go to the coach but I'm unsure if I'll be up for it after a night on the bike. And a Huge Fatboy's Breakfast with Extra Fat And Chips.