Repotting advice for a newbie

[OrchidThief79]

Hello. I'm new to this board and new to orchids generally, so I'd appreciate any advice.
I recently bought a Laeliocattleya at a local nursery, and the plant has seriously overgrown its plastic pot.
It appears to have grown out of two sides of the pot, with lots of roots, some dry, some new, growing freely. So my question is: how should I repot this rambler? I was considering dividing it in half. If I did that, could I put both divisions in the same pot or should I use two? Or maybe leave it intact in one wide pot? I prefer pots over mounts or baskets, but I'm open to other ideas. Also, I thought sympodial orchids generally grew in one direction on the rhizome, but this one seems to be growing in several directions. Why? Thanks!!