Look at procedure 7-6 from the Pressure Vessel Design Manual by Dennis Moss.
Sometimes using lifting trunnions instead of lifting lugs might be a better idea because the lifting lugs have several issues:
If they are welded to the top head - they can be affected by forces perpendicular to their major plane - i.e. relatively easy to bend or break them.
So the usual practice for lugs of many plants is to have them welded to the shell which usually makes them very long so extra gussets need
to be incorporated in the design to keep them rigid. (I am attaching examples).
If you're not allowed to grind flush the circumferential seam under the lug or weld perpendicularly through it for some reason,
then a compensating pad becomes mandatory. Sometimes the heads could be thicker than the shell and you would need a pad too.
Lifting using the shell cylinder reduces the risk of deforming the head. You would also need to check the stresses in either of them (depending on which approach you use)
Another option is to have the lifting lug welded to a temporary flange cover as shown here:
but this is rarely used.
Vertical vessels are usually lifted in place using two cranes. So you'd need two lifting lugs at the top and a tailing lug somewhere in the lower section of the shell cylinder or the cone
in order to execute the lift properly.
All lifting devices should be checked for lifting from horizontal to vertical: 0 deg to 90 deg orientation.
Also the minimum typical safety factor for on-shore applications would be about 1.5. SF=2 and above should be considered for off-shore applications.
If this is an actual job and you're not sure what you're doing - ask someone with experience to show and explain. Lifting devices are critical.