Create a simple text document with the links you are interested in. You don't need to include the http part. So, for example, a line for the Washington Post mobile edition could read:
www.twp.com
Then, email the document to your free.kindle.com address as an email attachment.
It will be delivered to your device, where it will be a new book, and you will be able to click on the addresses as links.
There is a significant learning curve to getting the most from the Kindle browser. Many other tips are elsewhere on this site.