How to push website links from phone to chrome/other browser? I can't seem to find an app for this. I have a Samsung Galaxy S3.
You could click the overflow button (menu) and choose to share the page. Then using an app like Evernote or Catch, sync the data to your desktop PC.

Alternatively, if you use Chrome as your desktop browser - use Phone 2 Google Chrome which uses the above concept. Also, take a look at Android2Cloud which has similar functionality.