There will be plenty of info on this site for you mate... from people who hunt the rabbit for food/sport and pest control. I fall into all of the above.
Id say that to get the best results, you should go for a bushing dog, and a lurcher, instead of trying for a dog that will do both. As the busher is hunting the cover, the lurcher will be waiting for the quarry to break out.
The dogs I use for bushing or hunting the rabbits in cover are spaniels and spaniel crosses. beagle/spaniel/terrier are an excellent cross for hunting the cover, and will likely speak on a hot scent, so alerting the lur