Medication can mean the difference between life and death, so it must be available to travelers at any moment. With all the laws on the books concerning what is admissible and what is not, it is essential to know the difference. Traveling by bus, train, car or air all have different options for your medication. Airlines have the most stringent rules. If you follow the airline plan you should have no trouble with the bus or train.Make sure all medication is properly labeled in your name. If it is not in your name the airline screeners will make inquiries, which could impact your ability to take the medication or even to travel.
I just copied this from the TSA web site:
All medications in any form or type (for instance, pills, injectables, or homeopathic) and associated supplies (syringes, Sharps disposal container, pre-loaded syringes, jet injectors, pens, infusers, etc.) are allowed through the security checkpoint once they have been screened. Atropens, an auto-injection system that can help treat many emergency conditions (low heart rate, breathing problems, and excess saliva related to insecticide, nerve gas or mushroom poisoning) are also allowed.
We do not require that your medications be labeled.
Medications in daily dosage containers are allowed through the checkpoint once they have been screened.
Gels or frozen liquids needed to cool disability or medically related items used by persons with disabilities or medical conditions.
Non-liquid or gel medications of all kinds such as solid pills, or inhalers are allowed through the security checkpoint once they have been screened. We recommend,
but do not require, that your medications be labeled to assist with the screening process.
We have always carried our pills in pill boxes and have never had a problem. Again I also carrry a Victoza pen for my diabetes that doesn't even have a label on it. We've never had a problem. Because of the needles, I do put the pen and it's needles in a bin, but never take the pill boxes out of the carry on. As far as keeping them in their labeled pill bottles, what good would it do anyway? What's to keep me from putting 30 pills of my choice in say a bottle that's labeled Lasix? Do you actually think those TSA agents would know what a Lasix pill looks like?

You could put any pill you wanted to in that bottle and then show the TSA agent a list of your meds that include Lasix. Drug control is not the TSA agents job, security is. Now if I wanted to keep that Victoza pen cold, TSA does have a right to take away my little blue frozen thingy, but only if it's not completely frozen. The pen and it's needles they can't though.