Plastic Cages (such as SAM and Critter Trail)
This is what I use for my mice. They love going up and down the tubes, and the solid plastic attached wheels are constantly being used. I also own 2 cats who gave up even trying to get into the cage after about a day because there was no way for them to get inside. These I think are great habitats for your mice. They can see everything going on, and there are plently of open spaces, and also plenty of tower and tunnels to keep them occupied.
There are many accessories to buy with these cages, and you can hook one to another in an endless way - you can always put on an addition whenever needed.
I did worry about the ventaliation in the cage, but SAM (the brand I have pictured) seems to be good, when i open the lid, I'm never hit with more of a smell on the inside than what I can smell with the lid on. The mice seem very happy here, and they have no problems with any of the tubes - but if you get vertical tubes, try to get the ones that have footholds on them so the mice won't climb up and not be able to figure out how to get down again.

Cleaning is easy, you can run SAM through the dishwasher, or wipe down with scalding hot water and soap. Make sure to rinse it very clean as you don't want a soapy residue inside of the cage.

Never use brillo pads or anything rough to clean, otherwise you will scratch the plastic.

Wire Cages
Wire cages are very popular to house a mouse in. They have great ventilation, there's lots of climbing oppurtunities, and the mice have an unobstructed view of you and the world around them. They will get used to the normal everyday noise of your home, and your smell much easier.
When buying a wire cage, make sure the bars are not too big, as your mouse will escape. They will be able to squeeze through bars that are too widely spaced, and could also get stuck. If you can get your finger through the bars, look for thinner bars, as smaller mice will be able to escape.

Years before, I kept both pet rats and gerbils in these cages. They loved climbing around. I found that putting the cage inside a larger box that has had most of it's height cut down, so there's only a small small part of the bottom of the bars covered, helps reduce the litter from falling all over your floor when they play in their litter.

Aquarium tanks
Glass tanks are also good choices - there are no bars to worry about escape with, and you can still watch your mouse (and she can watch you) just as well. Aquarium's a re a good idea for people who own other pets, as they can't claw or bother the mouse as much, and they weigh more, making it harder for your cat or dog to knock over.
A mesh-wire top is needed for, no soild tops as the mice need good ventaliation. Get them lots of toys and things to climb on, as they won't be able to crawl and climb along the sides.