"Can you bind your items to your other knight?"

So you have two knights --- let's call them A and B --- and some items are bound to A, and you want to move them over to B? No, you cannot. You have to pay the unbinding fees.

"or can you change the name of your knight."

No. Apparently there is about to be a way to change the color of your knight, but I have not heard anything about name changes.