Your Accord will call for a 5W-20 oil, but since it is out of warranty, use 5W-30 if you feel like it or can get it cheaper - it doesn't matter.
Using a '0W' oil, 0W-20 or 0W-30, makes sense in the winter, as these oils flow faster in the cold. IF you're going to use a synthetic, it makes sense to use one of them.