Well, there shouldn't be any particles or chunks to filter out. What I do is make the mead in primary, then siphon it off to a new container each time I have 1/4 inch or more of lees (sediment). All of the "stuff" in it settles to the bottom, and I siphon from above it.
When I bottle it, it looks like a commercial white wine. If it's bottled early, or not clear when it's bottled, though, all the stuff floating in it will fall to the bottom and be stirred when you pour. You definitely need to siphon it off each time you move the mead. You don't want to oxidize it by exposing it to oxygen like you do when you pour it, and you don't want to stir up the lees.
There isn't much to do if it's already bottled. But for your next batch, don't bottle it until it looks like Summersoltices' meads! (I'll find a link to a pic in a minute).
Here's a pic of Summersoltice's mead from his gallery: