If you are not too demanding about your data's privacy, Gmail is really a great choice for your webmail, perhaps the best currently available on the market. Gmail not only offers you a lot of storage for both your email and documents but it has also a very smart approach, (through Gmail Tabs and a powerful filters/labels mechanism), for always keeping your inbox with relevant messages. Security is another strong asset for Gmail with automatic virus and spam filtering. Gmail is also integrated with a nice instant messaging system which allows you to have a little chat or even a voice or video chat with your contacts. Finally, once you get a Gmail account, you have also access to all other google services (Google Plus, Google Drive, Blogger etc.)
Gmail is a free, search-based webmail service that combines the best features of traditional email with Google's search technology. Gmail makes locating messages so easy that you'll never need to shuffle mail in your inbox again. Besides offering an entirely new way of reading and tracking messages, Gmail includes tons of storage space. Best of all, it's free.