I just use water.
If she looks sore i boil up a batch of chamomile tea and calendula tea and add that to the water and wipe with that.

If i am going out, i just wet a few wipes and pop them in a plastic bag, so yet i would imagine that your container would be fine too - some one else from memory uses a plastic container here.
I would clean it out fairly regularly thou JIC.

Congrats on switching to cloth! i am sure that you will not regret it