I like a band on either side, but either plain, engraved Victor Canera maybe, or pave in no wider than 2mm each. I think the Bezet bands are too wide and I don't think the scattered diamond design really does much to compliment your beautiful eternity. I wouldn't mind seeing the 2mm Tiffany platinum bands with the milgrain edge, too.
Sorry this isn't a great picture, and my bands are YG... but this is how I often wear my eternity (20 pointers) with a plain 2mm band either side, or sometimes just with one. I love the look!