My biggest tip is explain to the BREEDER exactly what you expect of your new puppy, and be guided by him/her! It's all too easy to see nothing but 'aaaah puppy', especially with puppy Bassets, but nobody knows more about each individual puppy in a litter than the breeder who will have been spending pretty much 24/7 with the litter, from birth.
It does depend on what you do want to be doing with your puppy - much as even if you might be thinking about showing, your puppy won't ALWAYS be your pet first. All ours were. And again Basset puppies change so much as they develop - which is why breeders who want a litter to keep one or two for the next generation, need TIME before making a final decision about which are 'best'.
Of course you should look for a healthy, happy, outgoing puppy with all the attributes of the Breed but you MUST also look at mum and if resident, dad too. The situation the litter is being reared in - ideally in the home where they will all be used to normal household noises by the time they go home. At 6 weeks only, this is pretty much all you can do when choosing the puppy for you. They change so much to the point that when you go back to collect your choice, other than markings, she may well have changed, a lot!
Be ready to take your puppy to your own vet for a health check - best done within 48 hours - I prefer people to leave a day between going home and seeing a vet so you don't overload the puppy with too much that's strange.
Good luck - I hope you have chosen a known reputable/experienced breeder. All too often the popularity of the breed means those with no business breeding, do, often with disasterous results for the breed.
