My understanding is that DEFRA do require notification that a smallholding has llamas or alpacas, but there is no requirement to fill in a license form when they are moved, BUT... if there is a general restriction on the movement of livestock due to foot & mouth , blue tongue or other, then llamas & alpacas are included in this restriction and must not be moved!
As regards to TB - the cattle test is not suitable for camelids full stop - there is currently no other test available though the BAS & BLS are contributing through its members for a suitable test to be found. TB remains a notifiable disease in camelids and if a suspected herd has TB then they may be isolated & destroyed!
Movement & transfer of camelids is a voluntary but recommended course of action & whilst DEFRA doesn't want to know, the appropriate organisations do & you should register your animals!
It is something that is taken very seriously by all registered owners & any unregistered owners should be encouraged to join the relevant organisation to keep up to date with what should & should not be done!