We already have a one year old chocolate labrador who loves going to the dog park and swimming at the lake. However, we were looking for a friend for our lab to have while we're away at work, and hopefully for her to play with as well. The dog we've had in mind is a weiner dog, because they're adorable. So, my question is, how well would weiner dogs and labradors get along and would they play together?

I get scared when larger breed dogs growl or bark.
I got attacked by a corgi before and certain breeds make me nervous, but the breeds that I like are : Maltese, poodles, schnauzers, pugs and miniature mutts.

Also, due to a mild allergy, dogs with coarse hair like labs tend to make my skin itch. Yet, poodles and cavalier king Charles spaniels and those breeds mentioned above didn't make me itch.

A dog would give me an excuse to walk around and not look weird, especially when I go too close to people w/dogs.

We have young children, and quite a few cats (We're a bengal cat breeder). We want a dog that can thrive with the chaos that can often be associated with life with a family. The dog would be fixed. We don't particularly have a ton of spare time, so we don't want a long haired dog, besides the fact I'm somewhat allergic. We don't mind a small dog, but we DON'T want a yipper. Both my husband and I will be working, but it won't ever be alone, it'll always have the cats here, and two of them absolutely adore dogs, if anything, they'll sleep with it and follow it around, play with it. Large, or small, it doesn't really matter; but it needs to be somewhat easily trained, especially if a larger dog; we don't have problem putting the time into it that it need to train, but it's going to grow up with young kids, and we need it to pick up new commands with some work. It'll be taken for walks, up to 45 mins a day, but would most likely not have a yard to run in. What dog would suit our needs?
I'll repeat, we don't want a yipper. Or a long haired dog. Otherwise, we'll all for any ideas.