There really isn't a way to grease a strut. If you are getting a clunking sound when you hit bumps, chances are either the strut is blown or the strut plate (mount) is bad. Also, a broken coil spring can cause a noise.
First, check for leaks or anything that appears cracked, broken, or distorted. If nothing appears bad and the vehicle doesn't bounce excessively, then suspect the strut plate/mount needs replaced.
I attached an exploded view of the strut below. Where I highlighted, check for evidence of oil leaks. The coil is circled with a red pen. Check to make sure there are no cracks in it specifically where it mounts. In blue pen I circled the mount I referred to. To replace it requires the assembly to be removed and taken apart.
Let me know what you find or if you have other questions.
Saturday, November 14th, 2020 AT 6:54 PM