This is what I would use. It's pretty commonly available from various manufacturers.There are a variety of tie rod separating tools that would work on that. Just do a Google search.
Powerbuilt Small Tie Rod Puller-648692 - The Home Depot
A pulley puller. Two or three jaw set.
Before setting the puller, hold the head of a 3# hammer against one rounded side of the broken piece and hit the other rounded side 2-3 times w medium force. That will jar the taper a bit making it easier to pull. Doesn't touch the boot.
Jim