Dachshunds tend to be a very sociable and outgoing breed, and if properly raised and socialized, will generally get along well with other dogs and even cats. It is important to remember that dachshunds are a hunting breed and that if you intend to have cats, rabbits, rodents, pocket pets, etc., you should be sure that the dog is trained from an early age to get along with these types of pets.
To an unfamiliar dachshund, your new pet rabbit may be seen as hunting game and he will only be doing what is inherent in his nature to do, and that will be to take it upon himself to help you get rid of it! Keep these things in mind when considering a dachshund as a new addition to your home. Most dachshunds would need to be raised with small animals or pocket pets to keep from treating them like squeaky toys.