Thanks everyone and I took it with the 1.4 X-L converter about 30 feet away or so. I kept moving behind a beam, and the eagle would then bob around to try to find me (hence the intense look).
I do have mixed feelings about shooting at a c recovery centre, zoo or whatever. It seems like cheating but hey, I'm dragging a 4 and a 9 year old around with me on vacation, so you do what you can.
I used a tripod and the 3 second timer with a remote. The A*600 is horribly off centre so I also use a manfroto long lens support, but it raises the lens up and makes it top heavy so I have another issue with it wobbling from side to side.