Your spelling of Dachshund (pronounced Dox-hund in most areas) could be part of your problem with finding a reputable breeder, but you're right, they are hard to find. I'm not in the UK, so I don't know of any breeders that I'd recommend over there but if you'd like, I could try to find a couple for you. If you were to get a Dachsie, which coat type would you like (wire, longhaired, or smooth)? and what size (miniature or standard)?

You could join Dogsey. They're a UK dog messageboard and there are some people on there with Dachshunds. Perhaps they could point you in the right direction.

Good luck! I can't help you at all with the other breeds as I know next to nothing about them.