So... How do ya deal with said rodent when one is in your home?

Recently had a mouse in our apartment and after chasing it around (along with our cats), I finally caught it via a paper towel and put it into a zip-lock bag (didn't fully lock it, mind you). After I caught, took it outside and a good amount of distance from the place then let it loose, and scared it away in the opposite direction from our place. Mind you, it lost an eye and quite bit of blood due to the cats attacking it, but ye'h. I let it live by kicking it out of the building, basically.

So now I'm curious. Does anyone else do something similar or do they kill these rodents via mouse traps or by letting a pet take care of them (cats or snakes).

You move.

But more seriously, cats are not reliable to kill pests in the home. When cats are in the house, they usually will ignore their instincts to hunt and just expect you to take care of problems.
You can get a decent trap (lethal or non-lethal) for pretty cheap at a hardware store. Just be sure your cat can't get mess with the trap!

Don't have any pets these days so we just place baits around, used to use traps but they seemed too unreliable. We also have a reliable source of rodents from our useless neighbours leaving a derelict house so we would be forever setting traps.

I have had cats all my life and very rarely have seen any at any home I have lived in. I know someone who just uses mousetraps, and my work uses one of those box traps from the exterminator (it is well hidden, though).

Depends on the cats. For example, my cat Nala (the one I grew up with and who is with my mother, not me and my sister)... She's a flat-out hunter. Seriously, my sister caught her literally eating/swallowing a mouse (the mouse's tail was the only thing of it sticking out of her mouth).

However, my sister's current cats that are here with me right now... One doesn't care at all and just watched, the second one was just flat-out stupid, and the last one just held onto the mouse (but not harming it nor killing it)... Just held it in her mouth and growled when I attempted to take it from her. So at most, they have manage to cause damage to mouse's eye and caused a bit of a bloody mess in the kitchen before the mouse finally got away from them (but cornered as well), giving me my chance to capture it and take it away.

I've used poisons, mouse traps and glue traps....sometimes one of my dogs will get one.

One alpha male outdoor cat and one feral cat.

We haven't seen a mouse in years.

Funny thing mice and rats don't seem to be an issue where I live, but they do exist in the downtown area in the really old buildings with low maintenance like bars and nightclubs (I once had a job cleaning them when I was 17). I used to have some as pets when I was ten years old.

Putting them into a plastic bag seems kind of inhumane. Instead, try to catch 'em in a cardboard tube (like a paper towel or toilet paper cardboard tube), by cupping your hands on each side, then release them outside. Plug any holes or openings inside the house and outside the house to prevent them from coming in.

Don't use traps. Not only are they inhumane, the dead mice smell like death (the most horrible smell ever). Also, traps only work once. Mice can smell their own dead species, and it is incredibly difficult to wash out the smell of death from the traps making them a one-time only use item.

Never been too bothered by them, but I guess I would use traps.

Kill the rodent, ya know. Can't be soft on crime.