O-W-I-N:
DAB coverage is provided by this national network of transmitters:
http://i41.tinypic.com/oir7f6.jpg
The BBC stations broadcast are Radios 1, 1 Xtra, 2, 3, 4, 4 Extra, 5 Live, 5 Live Sports Extra, 6, Asian Service and World Service. The Digital One transmitters carry Absolute Radio , Absolutes Radio 80s, Absolute Radio 90s, Absolute Radio Extra, Amazing, BFBS, Classic FM, Jazz FM, Planet Rock, Premier Radio, Smooth FM, TalkSport and UCB UK
Local transmitters, shown here
http://i39.tinypic.com/wlrnfl.jpg
provide additional stations, usually including the local BBC station(s), together with local commercial services and other commercial stations (such as Heart, Gold, Capital and Kiss - but the selection of stations varies from one transmitter to another).
I use my portable DAB radio inside the car. Theoretically the metal body of the vehicle should stop most of the signals from reaching its telescopic aerial but I get good reception across East Anglia, London and the south East of England. (I've not tried it in Lincolnshire).
Chris