As for SWIM (lol, sorry guys), he uses a regular strainer to get most of it, then when the brew is reduced to a small amount, an eye dropper works because it will get plugged if a few grained of sand touch it, and it won't allow you to suck up anything.  So you know that anything you suck up doesn't have any bark particles. 

But I don't hear of anyone else using this method.  Just how do other people filter mimosa? 

If the mimosa tea is left overnight, the mimosa bark will sink and form a mud on the bottom of the cup and filtration might not even be necessary.  ie: you can just pour the tea out and most of the bark will still be in the cup.  But that depends on the mimosa.  Some mimosa is so finely powdered that it doesn't settle as easily, and smaller particles float around more.