Photos of your pill bottles showing the prescription label should help keep you out of the gulag.
As long as there are no narcotic-based or opioid-based perscriptions (my personal opinion) you'll have less chance of running afoul of the law if the pills are in baggies.
If I had to take something that could be abused (such as morphine or codeine based) I'd probably bring it in the prescription bottle. And of course, never put them in checked baggage.