My favourite site is
http://www.bbc.co.uk/hindi/Its layout is attractive and clear, the combination of headlines and photos helps you find the articles that might interest you, you can choose between latest news worldwide, India, Pakistan, China, sports, entertainment, business, science, multimedia etc., and then again between texts, video-clips, audio, picture galleries with comments etc., and with the articles you often get links to older information on the same topic, or other news in the same field of interest.
I usually browse the headlines and pick out one or two texts a day for closer reading, which implies looking up several words on shabdkosh.com or google translator.
When I started about a year ago it was hard work, and more often than not I gave up after ten lines or so, but meanwhile I can manage whole texts and don't need to look up so many words.