The new club will do all that after you do the required shoots, and they will get you your new ATT, also your old club will be telling them you are no longer a member and thus they are not responasble for getting your ATT, you only need to tell the CFP if you move,. case in point there are a few clubs around me, and if i decise to join another, I need not need to tell them as I am not moving. You could stayt a member of your own club till you get the required shoots required by the new club out of the way, that way you can during that time period be able to transp[ort your restricted to the range etc.