Hove Park .forms the lower west end of a green corridor that continues in the north east direction. The next link in the chain is the Three Cornered Copse (cross the roundabout in Goldstone Crescent at the north end of the park in a diagonal direction and you'll enter the copse), which runs up to Dyke Road. Cross Dyke Road to walk along Green Ridge and onwards.
The Friends of the Three Cornered Copse have a web site.
There's a web site for Green Ridge found here.