I was just thinking the same thing about the sun. DS loves that thing and it goes straight in his mouth. I'm thinking surface cleaning is about as good as it's gonna get.
We had that one for DS1 and DD. Like pp said, the pieces will all pop out. Every couple of weeks I'd pop off the softer parts and the seat and throw them all in the washing machine and then let them air dry.
Re: Cleaning Baby Einstein Exersaucer