ILR tier 1 gen based,proof of address

Hello every one, i hope u all are good.
i will apply ilr in december. me and wife are living in portsmouth but i have the address of london on my bank statement and credit cards statements. though i have few proof of addresses of portsmouth address where i am living now like, driving license, council bill, electricity bill (me n my wifes name), tenency agreement( my name only), babys certificate (me n my wifes name).
actually i dont want to change my address on bank statement coz it may effect my credit profile and coz iam due to move from portsmouth(my current) address and dont want to change again n again.

could it be a problem if my bank statement shows different address?
i would greatly appreciate ur help.

regards