I think the BBC leans right, but I go to it (alongside the Guardian which also annoys me much of the time) as first port of call for news. That is before a trawl around some of ITV, Sky, Al Jazzera, Fox, The Canary, the Independent etc. I think Sky and the Independent are more balanced and neutral these days (wasn't always so) but I still have the BBC and Guardian top of the list. Habit maybe.