So, being a new hero, there aren't a lot (yes there is one) of guides about Uldyr yet, so it might be good to share builds people have had success with.
Tonight I tried an Attack Damage centric build to take advantage of Tiger/Bear stance.
after that Tiger > Bear > Phoenix > Turtle
The items were
Regen Pennant --> Philosopher's Stone
BF Sword --> Bloodthirster
Frozen Hammer (Start with Phage)
The build worked decent in the few bot and practice games I played with it. It was slow to start, but once you have the BF Sword, you can Bear, stun, Tiger, hit for 25% health, hit again, bear, tiger, etc like an assassin, and push really well too. Survivability was a bit of an issue, mostly against casters, as I could just Bear stun to turtle shield, to bear again to run.