I don't think it will make any difference, but too many hard searches on your credit account won't look good. Stick with the bank account you have now.
Sharing from experiences of dealing with debt
The greatness of a man is not in how much wealth he acquires, but in his integrity and his ability to affect those around him positively.
Bob Marley. http://kallis3.blogs.iva.co.uk
As Kallis says -- the more hard searches on file over a rolling 12 month period the more resistant lenders / bankers etc. will be to accepting you. I have three ... all went on to be accepted, but Clearscore have advised "no more".
It is best to keep your head down and let everything clear up before muddying the waters again.
My opinions are merely that .. opinions based on experience. Always seek professional advice.
IVA Completed 23rd July 2013 .... C.C. 10th January 2014 http://foggy.blogs.iva.co.uk