I found a way to make bound armor stay with you at all times. All you need to do is summon them or use a rune stone and get the armor damaged.Then repair it and drop it.(Try to drop on a road or armor may fall through ground.) Pick it up after the time has run out. It will weigh absolutely nothing.

*Warning* - If thou hath Live, the glitch have been patched!

Full Bound

My character in full Bound