Would you make pokemobs display pixel art in the pc, such as in the handheld games? This would make management much better, and you would be able to easily find what you need. Also, when you hover over and grab a pokemob, it should display the pokecube as it currently normally does, so moving pokes from the pc to your inventory is a smooth transition.
I also think the search function needs visual improvement, as the green aura is almost impossible to see. The search function should also work with ability names.