I've used a few different types of containers to store my toothpaste and the one that I like best is a peri bottle. I like that you can squeeze it out the same way as you would a tube and therefore avoid the bacteria growth from double dipping your toothbrush into a jar.
You can add more or less vegetable glycerin to get it to a consistency that is easier to squeeze if that's an issue. And if you are concerned about grabbing the wrong bottle in your sleep deprived state you can easily put your own label on it.
Also, just a pea size amount is all you need and brush for 5 minutes or a song.
I like that there are no nasties or unpronounceable in this paste and you can customize the 'flavors' (mint, lemon, etc.).