Sounds like you have you hands full. LOL!!! Well, you can go to the AKC site (akc.org) and look up each breed and find a lot of information there that may apply to this little mix. You can also visit the Nat'l parent clubs for each breed. Do a google search for Nat'l Chihuahua club, Nat'l Dachshund Club).
Aside from that, The training for most dogs, no matter the breed, is basically going to be the same. Structure, Schedules, Consistency, Patience! Also, you can look up (or bet a book on) NILF (nothing in life is free) for training tips.
You don't want to give him run of the house. Crate train, if possible. Take him out *often* to the area you want him to do his business in and praise him when he does. Often, people with little dogs have a habit of picking the dog up and carrying it to the are they want the dog to use. Don't do this. If possible, put the dog on a leash and *lead* him to the area you want him to use. If he has an accident in the house, too late to correct. If you see him going, give him a firm *NO!!* and lead him out to his area (whether he has already gone or not).
Good time to start some basic obedience training with rewards. Start with *Sit* and reward. Then try *Down* and reward. Only train one command at a time. You can find some books on Basic Dog Obedience or look on the Internet. Keep training sessions short a few times a day so he doesn't get bored.
You have to be patient and consistent. Do not move on to a new command until he has mastered the one you are working on. When training, use something small for treats or even pieces of carrot, etc, if he will eat them so he doesn't put on weight.
Little dogs can be very hard to house train sometimes and some of those boys just love to *mark* everywhere. Is he neutered, I hope?
If he is hyper, try to put aside a couple of times a day to play with him with toys or a ball, etc. Take him for a couple of good walks a day, if you can.
You don't want to speak to him on *his* level. You need to be the pack leader and he needs to learn your rules. :-)
Hope this helps some.
Patience and *consistency* and try to follow daily schedules and routines.
go on the net and search hybrid dog mixes and it will come up