I agree with removing the turbo. If its your first time messing with a turbo it will be alot easier. Also, don't put anything on the unison ring; exhaust gas/soot goes through the vane/past the unison ring which will then stick to the unison ring b/c its not smooth. You will then be back in it with stick vane issues.
When you remove the turbo place it on the bench with the exhaust discharge facing down. Take off the V-band clamp that hold the cartridge to the exhaust housing. Take a rubber mallet and hit the vane actuator that sticks out to the side. Hit it towards you away from the exhaust housing then again away from you towards the exhaust housing. This rocking back and forth will help it break free. Make sure to spin the compressor wheel to make sure the rotating assembly isn't binding up on exhaust housing.
You won't have to balance the rotating assembly b/c you won't be taking it apart going this route. I know a picture is worth a thousand words so heres a some links in case you need them.
LLY Turbo; Page 2 has a good shot of the vanes.
4094 Turbo; Page 4 has a good shot of the vanes.
Good luck and its not to bad once you get into its.
Yellowchevy