The guys behind Pushbullet always seem to be working on something new. This time it's a beta Windows app that you can take for a spin right now. This program is similar to the browser extension, but it includes some useful extra features.
Each computer you install Pushbullet on is now its own device, so you can push content from Android directly to a specific PC. The app already has support for pushing and receiving all the content the website can, but it also integrates with the Windows shell. That means you can right-click on a file and select "Send with Pushbullet" from the context menu. The 25MB file size limit still applies, though.
The program should be completely painless to install – it even detects your account automatically (presumably from the browser extension). Updates will also come through automatically in the background. The next step is to get notification mirroring up and running in the desktop client, but no exact ETA on that.