If you're going to get something with a polished lip (or any kind of lip for that matter, you should opt for the 16" wheel. Like civics, the wheel that you're looking for would be a 16x7" wheel with at least a +40mm offset.
Since the wheel well of a Corolla are a little more forgiving than a civic, you could mate those wheels with 205/45/16 and shouldn't have any problems.
Getting a 15" wheel with a lip would look like the 14's that you have now.