UltenicU11 Cordless Vacuum Cleaner, 4 in 1 Stick Vacuum with Self-Stand Station - 260W 25Kpa Strong Suction, up to 55Mins Runtime, LED Touch Screen, Fast Charge for Pet Hair, Carpet, Car, Hard Floor

Q: does this inhale bits and pieces of detritus? Like say, maybe a couple Cheerios?

Yes, it can absolutely pick up Cheerios and other solid objects.

Q: My dust bin feel on the floor and cracked, is that something we can replace without spending the money on a new whole vacuum?

If you can seal the crack with no leaks it should work. Mix up some 5 minute epoxy, spread it on the outside of the bin across the crack so it's covering the crack and about a 1/4 inch on the sides, the cover that with packing tape which won't stick to the epoxy when it's set. Remove the tape later and check it out... otherwise a new bin is about $30.