They cannot climb smooth surfaces, but they can extend their full body length up the side of the enclosure. I wouldn't recommend a critter keeper since if it does get to the top it could squeeze it's way out. A large Tupperware could be safe if it is tall enough.
Since you're going to Walmart though, take a look at their jars. I got a gallon size jar for less than $5. Screw top lid plus tall enclosure is the ultimate in pede security.