The first time Gandalf stayed at Lothlorien Cottage he did bring a Welsh Dragon along.
Normally however, we prefer guests to keep their dragons on the Black Mountain which is very close and convenient for dragons*.
However, if you are travelling with a well-behaved dog (or two), please let us know.
As long as you take responsibility for their good behaviour, and we are warned in advance, they are welcome.
*(There are plenty of caves in the Black Mountain so dragons do very well there, and they usually get on very well with the dinosaurs in the nearby Dinosaur Park.)