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If a corporation files separately in each jurisdiction, then it's not just a single corporation -- it's multiple separate corporations using the same name. This would create huge accounting and asset/liability allocation expenses, although it could make legal action against the shareholders of the multiple entities more difficult. Multiple article filings would be extremely unusual.
Hope this helps.
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The easiest thing to do would be to register as a foreign corporation, in California, and then just notify your registered agent for service of process in the other states of your new corporate HQ address.
Alternatively, you could form a new corporation in California, then assign all your current corporation's assets to the new corporation, and then dissolve the old corporation.
As far as who to have do this, I can't give you a direct referral to a lawyer (potentially illegal). For lawyers in any/every jurisdiction, see: http://www.abanet.org/legalservices/lris/directory/home.html, and www.martindale.com.