We're looking to move to Atlassian tools for our organization and I'm looking at OnDemand vs Download. I've currently got all tools on Download and our developers really like Fisheye & Stash. If we host Fisheye ourselves can it be used with BItBucket ?
Yes, you can use FishEye/Crucible to index git and Mercurial repositories hosted on BitBucket.
I have written a repository synchronisation plugin to automatically add any new repositories created in your BitBucket account to Fisheye/Crucible, but you can manually add repositories as well.