Boxelder Bugs:
(Boisea trivittata) These bugs feed on the seeds and stems of boxelder and other maple trees. They are harmless to landscape plants. There is usually one generation per year, and the adults (and sometimes large nymphs) overwinter in masses in protected locations around the outside of structures. Sometimes adults will enter houses in small to large numbers.They can find their way in through any cracks or crevices in the home's exterior. They are completely harmless, even in large numbers. They do not bite but may stain fabric and carpet if crushed. If they're in your home, the best way to get rid of them is to vacuum them up.

Ladybugs:


They prefer the sunny sides of buildings, where they will crawl around until they find cracks or small openings, including window and door frames, garages doors and outbuildings, soffits, siding and shingles. They may accidentally find their way inside homes, and if they do it's best to ignore them or return them to the outdoors. They are looking for cool and sheltered places to hibernate. They cannot survive for long inside houses because suitable food is not available, and our houses are usually too dry for them in the winter.
The ladybugs in our home like to spend their time in our bathroom, where it is more humid. I've caught several hanging out in the sink, on the faucet and even trying to take a drink in the toilet (they do swim for a while, but eventually drown). I was vacuuming up at least 10 ladybugs a day, but since I did some research on ladybugs, I've decided to let them be. In so doing, I have found that the ladybug population in the house has remained steady at 6-10 bugs (when a couple die, a couple more show up), and several die each day on their own (from dehydration, or by drowning in the toilet). Hopefully next year, we'll have our house will be properly sealed to keep the bugs out.
I've read that you can keep ladybugs as pets, so perhaps I'll give the kids a project to do until Spring, when we can let put them safely back outside to do their job of controlling the aphid population.