In reply to idiotproof (Buxton MC):
NB: you do not do the ISA transfer yourself, you reqest your new ISA provider to execute the transfer. And there are also rules about what you can and can't transfer of the current year's subscription, so check carefully.
Also, now may not be the best time to move an ISA. Barclays Stockbrokers have really mucked up their offering, and Barclays Stockbrokers clients are leaving in droves so other providers ISA transfer departments are just a little bit busy.