AFAIK, there is only one service capable to work with several phones per single account: https://www.altermoby.com. It's a little bit complicated in use, but pretty powerful. Try it and write your opinion.

Hi,

I need to find a service which will give me ability to accumulate SMS-messages from my nokia smartphones. I could find a couple but there is not service which allows to archive SMSs from several phones. I need this because every day I get many SMSs and I need to make searches among them. Thanks.