Single use or thinner plastic would work short term but if you are looking for something long term I would go with glass. Mason jars or even cleaned out food jars (like for pasta sauce) work perfectly.

Also, store the jars in a spot where there is as little temperature fluctuation as possible. Everyone goes for the basement, but even subtle seasonal temperature changes can affect the lifespan of stored paint.

I work in a paint store, and this is what I usually advise customers to do.