As the author of SQLite Persistent Objects, I say: use Core Data.
I wrote SQLPO when Core Data does not exist on the phone. Although I am proud of what I did with SQLPO, and although I prefer some things about its approach more than Core Data (in particular, you do not need to maintain separate class files and a data model), the engine underlying Core Data is much more mature and has many more engineering hours invested in it. So I abandoned the development of SQLPO when Core Data came to the iPhone SDK.
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