
There are the beaches at Thurstaston, West Kirby, Hoylake- also try walking out to Hilbre Island ( but keep an eye on that infamous tide) etc and there are various Wirral Way routes to go. Where about are you on the Wirral Tracey?
I also enjoy Storeton woods- loads of trees,grass and hills for the dogs to explore without worrying about them being able to get out onto the road and the majority of dogs and walkers that you encounter are really friendly too.