As a dachshund owner for the last 14 years, I don't recommend one for beginners. My family got one when I was 10, then again when I was 15, and now I got my own at 24. Basically, we fucked up training with the first two before I was really able to do it correctly.
They are one of the most stubborn breeds to housebreak, too. My husband and I got him at 8 weeks, and we monitored him CONSTANTLY. I don't mean "okay, he's sitting next to me so I'm going to get some work done," I mean WE'RE NEVER TAKING OUR EYES OFF YOU. Basically, every few minutes if he even started to sniff anything, we'd take him outside and waited until he peed. In the dead of the night when he'd start whining, we'd wake up and take him outside, waiting for him to go to the bathroom. When he would start doing it, we'd go "go pee, go pee, go pee," over and over again and then praise him like hell when he finished (+ a treat). It took us 2 weeks of 24/7 training to get him housebroken!
Granted, he still pees in the house but it's incredibly rare. The first month or so he was adorable and tiny so we'd bring him everywhere and I'd put him in my purse, but now he's 16lbs and gets separation anxiety whenever we go out. Start them immediately on making sure they're okay with you leaving the house.
Also, training is difficult with a doxie. Ours is an asshole. He may have been housebroken (he has never once gone in his crate, even when he was a baby), but he's an asshole. He'll jump up and try to lick your face but his teeth can hit you and that is BAD. He takes socks (and people think the dryer is bad), underwear, and will jump up on the kitchen table or the husband's desk if he's angry at us and just destroy anything on there. One time he was angry I wouldn't let him sit on my lap, so he looked at me all smug and WHILE HE WAS LOOKING AT ME knocked over the remote. Then he gave me that smug ass little look that said, "Yeah bitch I just did that, what are you going to do?"
Oh yeah, and acclimate your dog to other dogs early on, and with humans. We let kids pet him when he was a puppy all the time so he'd get used to it if we ever had kids, and he wouldn't try to kill them in their sleep or something from jealously.
Hope that helped!