al78 Chapeau to you for riding that roundabout. I won't. The local cycling forum have complained to the County Council about the cycle route over it which often requires you to sprint across like Linford ruddy Christie whilst pushing your bike. With that roundabout you only need to misjudge something once....
Allirog; Whilst I get your approach I either go via Tesco's as suggested by al78 (ignoring the Cyclists Dismount signs on the bridge; if someone is crossing on foot I wait until they have passed then ride over) or get into Broadbridge Heath by using the cycle path off Redford Avenue across the Golf Course "Fore!" down Robin Hood Lane and into BH on the Warnham Road.
Much nicer, much safer. imo anyway.
Horsham is full of cants in cars. You have been warned.
Both; are you aware of
Operation Crackdown?