OK, then…
Sorry for the trauma ride!
Get yourself a ferret. From what my brother-in-law (my ferret-loving niece’s father) tells me, the musk alone will keep the mouses away.
My niece got her ferret for free from the local animal shelter.
You can pretend you’re a medieval rat-catcher. (The ferrets did all the work then, too!)
Option three: Put lots of hamster wheels around your place. If the mice are as lazy as people are, they’ll avoid your house just like you avoid the gym.
Oh, yeah…
… what Phase42 said.
Since I’ve been here in Japan, I’ve had two cats turn up dead from secondary poisoning. As unluck would have it, they were both special favorites of mine…
[SOB!]
So, if you’ve got to use poison, please do some research, and then use only poison that won’t kill twice.
There are innocent cats and dogs and birds out there that don’t deserve to die like vermin.
There’s a fellow at the homeless shelter who lived years ago at the old shelter (the old building that was the shelter before the current one was built.) He said that place was infested with rats - until he went and bought a pair of ferrets. The Director of the mission at the time didn’t like the ferrets when he saw them. But the next day, when he saw the pile of dead rats, courtesy of the ferrets, he decided to let them stay 
Lieu, good one. 
This company offers a lot of products to rid you of meeces. I recommend the Do-It-Yourself Tornado Kit, the Giant Rubber Band or the Strait-Jacket Ejecting Bazooka.
If you’re really interested in catch and release, then after you have caught your rodent with your glue trap, take it outside and spray it with WD-40. That releases the glue. Of course, the WD-40 is probably fatal to the mouse, but at lease you don’t have to do any of that nasty whacking or drowning.
I don’t get off on killing the little fuckers, but hey… they’re rodents and I’m not going to lose sleep if they have an icky death. My cats aren’t exactly “all about the lethal injection” when they get ahold of the furry little critters, if you know what I mean. That’s my chosen method of mouse destruction. It ain’t pretty, but it works. But under the circumstances, drowning is my next favorite.
Another option would be to put them in a pillow case, tie it to the exhause pipe of the car, and gas 'em to death.
I guess I’m just cruel and sadistic cause I don’t really have the time to hook up our mice to homemade drowning pools and gas chambers.
I check our traps often, usually daily. When a mouse is caught by the glue, I wrap them in a plastic bag, find the skull and take care of business with a hammer. I hate doing it, but it’s instantaneous and much better than letting them starve to death.
I’m mostly a fan of the spring traps, and have even caught baby mice in them. They are usually quick and painless. Well, except for the one time that I heard “Snap! Squeak, squeak, squeak…” The thing had got the mouse mid-spine. Feeling absolutely wretched, I used the, erm, hammer method. Thsi is the one and only time a mouse failed to die instantly in one of my snap-traps, though…,
I tried a glue trap once. Found myself faced with a live, squirming, stuck mouse which I couldn’t get out of the glue without causing it a messy and painful demise. I hit upon the brilliant idea of using nail polish remover to get the mouse out of the glue so I could set it free. I set it free, alright. Fortunately, the mouse didkn’t seem to suffer, but I never used a glue trap again and never will.
I know you said there’s an allergy problem with cats, but does the same hold true for dogs? Because terriers are fantastic rodent-killers and they don’t play with live vermin, they just shake them to break their necks. (Might toss them around a bit afterwards, but they don’t do that cat thing, in my experience.)
When I was a kid and we had to tear up the floor of our guest bedroom for whatever reason, we had a serious mouse problem for the first time ever. Our West Highland White Terrier would wait patiently at the kitchen doorway when we went to bed, and the next morning there would be a little row of mousie corpses. Complete with head, for you cat people out there. There was a bad moment for my mom that I remember like it happened yesterday - one morning she was cooking breakfast and a little gray streak ran between her feet towards the cabinets, followed by a much larger white streak. The dog caught the mouse, but it didn’t do much for my mother’s nerves or balance. 
Plus, you’ll need a dog when the baby starts eating solid food.
I am allergic to ferrets. I am allergic to 90% of mammals. If I weren’t, we would have a cat, and this would not be an issue at all.
I also forgot to mention that we can not have pets in this house. We rent, it’s a condition of the lease.
Except, aparently, for mice.
Amateurs!
Weirddave, just go to your local auto supply and get a can of diesel engine cold-start spray (ether). IN A WELL, VENTILATED PLACE, place a small cloth over the mouse in question. Hose it down with the ether (Make it wet). Wait a bit. Do it again.*
Mousey will quickly lose consciousness, then stop breathing, then die in his sleep. You can then pitch the little @#$% in the trash with a clean conscience.
–SSgtBaloo
*To be extra certain little mousie won’t wakey-wakey, raise the cloth and check. If he isn’t conscious, replace the cloth, place your heel on the little bastard, and grind his life out like a used cigarette.
(Er… that should be WELL-VENTILATED.)
May I refer you to the Words of the Master, in the ancient art of rodenticide:
Hmm, let’s see if we can find a way 'round this.
OK, got it. Most apartments/houses with no pets rules are thinking in terms of four legged furry creatures. They generally do allow tenants to have birds.
So, what you do is this. You get a bird. Of prey. Say a kestral or one of the smaller species of owl. Owl is probably best, you can just let him out of his cage at night and pick up the pellets in the morning.
Sammich!
;j
I hate the way they stick to the roof of my mouth, though.
Hey, Sarge, gotta light?
Foosh!