I gave up early on and started letting Mackenzie eat wearing nothing but a diaper. I'd just give her a quick rinse in the sink after her meal and get her dressed again. Honestly, the first couple of times, I thought it was a pain but I got used to it. She's had her own suction bowl for awhile and has always eaten with her own spoon. Now, at 13 mo, I can put a regular bowl on her tray and she happily eats out of it and leaves it there. She's great with a spoon but still needs help with the scooping.
I was also a big chicken about letting her try to do it herself. I'm a total neat freak. But it was soooo worth it! She hardly ever needs a bib now and rarely makes a mess.