I haven't found anything better than the felt pads. No matter what you put on the bottom you will have dust bunnies. Even the chair without anything will get them on the bottom simply because you are dragging it on the floor.

However all felt pads aren't created equal. I bought a solid pad you cut in my hardware store when we first got our table and they lasted until all the felt was worn away. I bought those disks from the dollar store and they fell off, so the more expensive ones were better.

When you put them on make sure the chair bottoms are very clean and dry to give maximum sticking power.

I bought some tap-in felt pads called Safeglides and I love them. They don't slide off like the stick-on kind and are showing no wear after 6 months use.

Here is a link that might be useful: Safeglides