I think you should notify CIS about your moving because you are main applicant.In futrue,if the immigration officer of Vermont Service Center think that you need to take an interview(nobady may guarantee
it won't happen),he/she will tranfer your case to NYC
local CIS office,at there you will be required to show
your pay check stub & tax return,when the immigration
officer of NYC find out you actually live in Boston,
I amn't sure what will happen,maybe he/she will decide to transfer the case again,let Boston local office of CIS to process it due to jurisdiction.If so,at least
delay the processing of your case a few months ,even
more than 1 year.
it won't happen),he/she will tranfer your case to NYC
local CIS office,at there you will be required to show
your pay check stub & tax return,when the immigration
officer of NYC find out you actually live in Boston,
I amn't sure what will happen,maybe he/she will decide to transfer the case again,let Boston local office of CIS to process it due to jurisdiction.If so,at least
delay the processing of your case a few months ,even
more than 1 year.