Experienced daxie owner here. My girl is a mini Black and Tan smoothie. She is now 11 and a half and the boss of the house!
Rescues are great and I can really recommend The Red Foundation. Just remember that they may come with their own set of problems do you need to think about how much you are willing to take on. If you are looking at a dog that needs an experienced owner perhaps look at joining daxie walking group in your area. What part of the country are you in? I may be able to recommend a group.
If you are going to get a pup, please research this thoroughly. Daxies are now a really popular breed and there are many unscrupulous greeders breeders. Please stay away from any pups advertised as rare or blue/lilac. These have been badly bred and can have very serious health conditions.
Have you thought about what type you would like, standard/mini and what type of coat?
I can thoroughly recommend them as a breed! But as others have said, can be stubborn and very difficult to toilet train. When we got our girl we were living in a flat in London so did rely on puppy pads. Nearly 12 years on, she will go outside for a wee but if it's slightly wet or overcast or dark she will ask the to use the puppy pad but she has us wrapped around her little paw.
She sleeps upstairs with us so not had a problem with crying at night. As far as exercise is concerned, yes they are cute little dogs but they are also hunting dogs so don't be fooled by their size, they can go for miles. Mine is happy with as little or as much as she gets. She has been up Ben Nevis with us and done a few 10 mile walks in her younger days.
She is the softest soppiest dog at home with us, but does demand cuddles by growling at me
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Be prepared for lots and lots of attention when you are out though, sometimes I feel like I can't walk a few feet without someone stopping for a stroke and a chat,
Sorry for the epic post, but I absolutely love the breed! Feel free to ask any other questions.