That looks fab! You could go any way with this one, the one thing I would keep in mind is you have a visual star already in the quilt, don't compete with what you already have.
In a Round Robin I did a few years ago we had one instruction, "Make It Better"....that is a great guide when you are trying to decide on borders and bindings.
I am a huge fan of auditioning ideas up on the design wall (in my case black batting pinned to a wall).
Audition these and see what you like best...or see where it leads you!
1. Just a black binding
2. a black border of about 3", then a bright binding
3. a bright border (probably solid or reads as solid) and a black binding
3. turn and face (no border, no binding)
4. black and white...as a border or as a binding.
One will feel right to you...