I'm an iPad/iPhone only blogger looking to switch from Squarespace to… something. Suggestions?
The app works with self-hosted WP, or with wordpress.com, and the admin stuff is the same (mostly speaking) between both.
Disclaimer: I work for Automattic, the company that runs WordPress.com.
Clicking the mark as good answer button helps us highlight the best answers.
That said, one of the things you mentioned is rearranging objects. As far as I know, there is no service other than Squarespace that provides that kind of drag-and-drop control over page elements on a per-post basis. If that's really important to you, I don't know of any alternatives I can suggest.
Good luck, I hope you find something that works for you. I wrestled with blogging platforms for months and found the experience frustrating, and I wasn't even dealing with the iOS-only constraint you have.
It's not a popular platform, so it also gives you some hipster-cred... if that matters :p
Wordpress is great, but give Jux a chance. Its free, so you really can't go wrong.