How many engineers required to change a light bulb?

We have many reading lamps with 12VDC bayonet bulbs. I'd like to replace the bulbs with new LED bulbs but find it difficult to seat the new bulbs. Its easy to remove old bulbs because the spring ejects them, but the tight clearance around the bulb prevents my fingers from grasping the bulb enough to turn it.

Has anyone come up with a simple tool or aid to push and rotate a new bulb?