Switching balances between two credit cards

Hi


I know I should ask the credit companies this, but wary of doing so when they have my details, and would welcome the advice of the sages on this site.


I have two credit cards, each with an outstanding balance, and each with some headroom on the credit limit. Both are currently attracting interest, but both are offering 0% on balance transfers. Thus my question is this: can I transfer the balance from Card A to Card B to get 0% on Balance A, and then switch the original balance on Card B to Card A to get 0% on the original Balance B. Hope that makes sense.


If this isn't a goer, my next tactic was to transfer the larger balance to gain maximum benefit of 0% but ask if they'll offer a reduced interest rate on the original balance to help pay it all off.


Grateful for any advice.


Regards


R