I do most of my Twitter browsing on my Android phone (which is currently a myTouch 4G). When I see a link to an interesting article, I will sometimes read it immediately. Most of the time I want to read it later. In the past I have used Evernote to store this stuff, but I find Evernote to be cumbersome for reading articles I've saved for later. I do like Evernote for storing my own notes on things.
Read It Later is meant to solve this exact problem. Read It Later works in most browsers and also has iOS and Android apps. In function, Read it Later does a great job of easily storing articles for later reading, with direct integration into your devices browser, so you can easily capture pages for later reading.
One reason I think I will succeed this time around is convenient access to my notes from either my computer or my Android phone (Evernote also has an iPhone app). Last time I tried Evernote, I didn't have a phone with apps. Beyond the Web interface, the phone apps are what really makes Evernote great. You can take a picture and send it to your Evernote account for future reference. You can upload files. You can simply jot down notes. All of the data becomes searchable for later retrieval. Using separate note categories and using tags to label your notes, finding the data later is a snap. While there is a pay version with more features, the free version of Evernote is excellent and will get you more organized more quickly.