Move the remaining tests into a test package

[Minivera]

What does this PR do?

This work has been extracted from testcontainers#2202 and is related to testcontainers#2180. See the original PR for the full context and reasoning. This PR in particular moves all the simpler tests in one go, or adds a comment to any remaining tests that would not make sense to move (or could not be moved without exposing a lot of variables).

Why is it important?

This will help with the documentation, since all examples will now have the module prefixes.

Related issues

• Relates to #2180

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