Welcome to Dashing Dackles
The place where dachshunds rule!
Feed your doxie a quality dog food and limit treats. Quality dog foods list meat as the first three ingredients. Avoid dog foods that contain meat byproducts; you don't want him eating feathers, beaks and ground bone. Because your doxie is susceptible to herniated disks, quality dog foods help keep him slim, since there are no fillers in the food. You do not want your little wiener dog to become overweight and risk a herniated disk because of the extra strain placed on his back.
Avoid letting your doxie jump on the furniture. It could put stress on his back. Place a ramp for him near the furniture you don't mind him lounging on with you. Carry him up and down stairs. Your dachshund is capable of climbing up and down stairs, but you want to limit any chance of causing or aggravating any disk problems.
UPDATE: Correction: Sally & Max's puppies are here, they are three weeks old (about) and have their eyes open. Sadly, Gina and Ranger puppies didn't come as espected.
Teach your pup to heel. If he understands his place is beside you, not in front of you, he is less likely to try and be the alpha dog. Keep him on a short leash and hold a treat on your left side above his head. Take a few steps and say, Heel. Reward him with the treat, if he stays beside you. Continue this method until he can walk without dragging you down the street. Teach your pup to sit. Hold the treat over his head. Guide his behind gently into the sitting position as you say, "Sit." Praise him and give him the treat. Because you don't want your doxie to have too many treats, break them into small pieces. Teach your pup to stay and come. Once he knows the Sit command, have him sit and then hold your hand up like a stop sign. Say the command "Stay, and then back up. Say "Come" with enthusiasm. When he comes, give him a treat. Repeat the commands often in short training sessions.