For years I've carried prescription and non-prescription drugs in a pill strip (or tray for longer trips). I never worry about original bottles, original labels or anything of the sort.
It is prudent to carry a card in your wallet showing what you take whether you're at home or away and I do that. No one at any border, any airport or anywhere else has ever questioned me on this issue, and frankly it's the least of my worries. If I were to travel to and from Colombia or other such place I might modify my views, but in most of the real world, and for the kind of people who post here (sorry, but profiling does exist, folks), legitimate drugs simply won't be questioned--or probably even noticed.