Relocation of vultures is not recommended except in situations involving a rescue.
The home range of vultures can be greater than a 9-mile radius, and some birds have migratory behavior, so vultures should be transported at least 100 miles and in the appropriate direction for the season. Birds should be tagged to determine if they return to the site of capture. Translocation usually is feasible only in situations involving airports, and requires federal and state permits.
Carbon dioxide is a suitable form of euthanasia for vultures.
Check your state regulations regarding disposal of carcasses.