It's simple to create lists and cards but I have not found a way to move a card from one list to another.
How do I move a card to another list in Trello on the iPad?
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Sign up to join this communityI can't tell for sure if you're using the Trello website or the the Trello iPhone app, though I'm assuming it's the web site, given the context.
I recommend you use the app, however. It allows you to tap and drag cards left and right, to different lists, and that works well.
Note that when you click on a card to open it, you can click on the list name, to open up a couple of spinners, to move to a different list, and a different position. However, in my experience, that bit of the user interface is annoyingly buggy, and I gave up using it.
(I just tried it again, and in one of my three attempts, the item I was moving disappeared completely!)