I am a Hong Kong resident and am currently working in the US and hold an H1B visa stamp on my British National Overseas (BNO) passport. I just received notice from the British Consolate in Hong Kong that I have been granted British Citizenship. Do I need to transfer my H1B visa stamp currently on my BNO passport to my new British passport? If so, what is the procedure? The expiry date on my BNO passport is well into the future (~2019) and my H1 visa is valid till Sep 2012. Please advise.