Great project! Please also provide a yum repository and instructions (and any others you feel are popular enough). You may want to look at the way SSLMate does it, with an operating system drop down selection (Debian, Ubuntu, RedHat, Arch, Mac, Other).
We are actually hoping to have packages shipping from the official OS repositories, so you won't even have to get the package from us. (If anyone wants to help with this aspect, please get in touch.)
I don't think it would make sense to start shipping this package in operating systems before public cert issuance starts, which is currently expected to be around next summer. It would be fairly confusing to web developers to be encouraged by the OS to run the client, only to have it immediately inform them that there are no CAs yet able to issue certs to them!
Generally not into the Debian repos, though it's possible the release manage could approve it.
You can pin other releases for specific packages, though, and if this is well-designed it should have minimal other dependencies. Ideally it's simply requesting and installing a key.