Ooof, I'm glad I no longer live near the east coast, could be pretty cool and dull at times later next week IMO with that north-easterly flow:
http://www.wetterzentrale.de/pics/Rukm1441.html
Parts of Wales could be the best place to be next week.
Overall not a bad outlook and certainly a vast improvement on recent weeks, but that wouldn't be difficult. Must admit thought that I'm not totally excited by the outlook from a warmth and sunshine point of view...I think some may end up pretty disappointed but having said that most places should at least get a couple of decent days out of this next week, and some will see a week of good weather, but beware those close to the east coast and that cold, cold North Sea...