If you leave things in their reach (any puppy/young dog) will get into trouble.... pick things up.... put them away, they do not know the difference between their toys/chews and things like remotes/glasses/etc... they have your scent on them. You have to work on crate training if you can't secure a place for them.
Keep in mind, unless you correct them "in the act" they really have no clue that they have done something wrong, or more to the point "what they did wrong"…. shredding is pretty natural to a Basenji
@AJs:
It's just AJ and I. He's great. Only time I've had a problem with him waking me up was when he was sick with the runs for three days. He would whine to wake me up and go outside.
Been there, done that. Gotta love those 3 a.m. wake-up calls, especially when its freezing outside.:)
