I'm building a little table to go against a wall, and chose to use Birdseye for the first time to incorporate as part of the top. I was completely oblivious to the fact that it's hard to work, but recently read somewhere it takes special care not to tear out. I couldn't really find all that much info other than that it's preferable to use a wide belt sander or drum sander.
My jointer has straight knives so that tears out even regular wood sometimes, but that's ok because I only joint the bottom sides. For the top, I have a 15" Grizzly planer with a spiral head which cuts like fine grit sandpaper. However, it still lifts wood so I can see tear out. The piece is only 3 1/2" wide, so the only alternative I can see is running a face against the blade on the table saw. However, that often burns the wood and leaves uneven spots.