Deerhound x greyhounds do usually do well on foxes, completely inialte them, and, they have the strength to do many in one night, and more than just one night a week. My pure bred deerhounds slay foxes, break their backs at times, and carry them back to the vehicle. As for rabbits, I am not a lover of any first cross, but I have owned a couple of deerhound x greyhounds, and worked with every other first cross, Ive NEVER seen a tall dog, as some dxg`s can be, not be able to get down to rabbits, as I have said earlier, I have seen many of these get into 30`s and I have had pure bred deerhounds