GitHub release

Run dev-bin/release.sh

Current PPA process

Note: dev-bin/ppa-release.sh should do the following for you.

Type dch -i and add the appropriate debian/changelog entry.
Move tarball created above to a temp directory and name it geoipupdate_1.?.?.orig.tar.gz.
Unpack tarball.
Copy debian directory from the ubuntu-ppa branch. We do not include it in the tarball or in master so that we don't interfere with the packaging done by Debian.
Update debian/changelog for the dist you are releasing to, e.g., precise, trusty, utopic, and prefix the version with the a ~ followed by the dist name, e.g., 2.1.0-1+maxmind1~trusty.
Run debuild -S -sa -rfakeroot -k<KEY>. (The key may not be necessary if your .bashrc is appropriately )
Check the lintian output to make sure everything looks sane.
Run dput ppa:maxmind/ppa ../<source.changes files created above> to upload.
Repeat 4-8 for remaining distributions.

This dist is not yet buildable with gbp. You must build from the tarball.

Go to https://github.com/Homebrew/homebrew-core/blob/master/Formula/geoipupdate.rb
Edit the file to update the url and sha256. You can get the sha256 for the tarball with the sha256sum command line utility.
Make a commit with the summary geoipupdate <VERSION>
Submit a PR with the changes you just made.

Please run dev-bin/uncrustify-all.sh on any changes you make.