[talanum1 (OP)]

They talk about things falling into a black hole. How is this reconciled with the fact that time goes to infinity at the horizon?

Things can't fall into a black hole: they would just kind of hang out near the event horizon forever (from our point of view). This way information does not get lost. The star it formed from collapsed before the event horizon existed but after that everything that "falls in" must hover near the event horizon forever.

[Halc]

They talk about things falling into a black hole. How is this reconciled with the fact that time goes to infinity at the horizon?

Time isn't something that 'goes' at all, let alone to infinity. You're speaking of coordinate time, which is an abstract concept, not a physical one. It just means that the abstract coordinate system you've chosen does not order the events up to and beyond the event horizon. A different choice of abstract coordinate system does order those events, so there's nothing physical preventing anything from falling into a black hole.