
Boo isn't wrong when it comes to differing opinion!! I can only tell you how we weaned our Basset litters, bearing in mind with this breed, you have to feed to promote the big bone they should have, genetically. By around the end of week 3 going into week 4, we started with warmed goats milk, holding each individual puppy on our knee and encouraging them to lap. At the same time, we gave each puppy a tiny amount of lean raw mince (or hamburger if you prefer), just enough to cover a thumbnail, once a day. They absolutely loved this, and it was tempting to feed more but at this early stage, most of their nourishment should still be coming from mum. I did the warmed goats milk 4 times a day and once they could lap, added a good quality puppy food. Here is where you have to make your own decision about what but I'd use one that lists meat as the main ingredient - we used Eukanuba because at that time it didn't have the 'bad publicity it seems to have now' and for sure, the outflow was minimal compared to other food, significant with big puppies like Basset puppies. The food was mixed with either goats milk or water, into a porridge, reducing the amount of liquid as they grew and could manage their food less porridge-like. This was fed 4 times a day, with mum out of the box, but going in to clean up, and eventually allow comfort nursing, standing up - until their teeth hurt at which point she wanted out.
Weaning onto solids was over by around 6 weeks but unless we knew the puppy buyers, none went home until 10 weeks. Mum was off them shortly after weaning onto solids was done (some earlier although Bassets do make good mums usually) but for me, there was no rush to get them away, other than with the bigger litters where a more individual attention, from puppy owners, was more than I could give them. It would depend on how well they were doing, and I needed to make sure each puppy was properly established in their diet.
We didn't need to use bitch replacer milk, thankfully. Also, because of the need to help the big bone, we added things like cottage cheese, scrambled egg and raw mince to various of the meals we fed during a day. And we'd also continue with the goats milk, warmed, as a mid-morning, mid-afternoon and last thing 'meal'.