First, let me say that I would recommend against doing this unless you know the views are being hindered.
Second, I did this myself just the other day because I needed to clean the secondary (I'm also to the point with my 10" LX200 where I'll do just about anything to improve its performance).
Removing the front ring will allow the entire corrector plate and secondary to come off in one piece. When you do it, make sure the scope is tilted up slightly so that it doesn't crash to the ground. Remove the retaining ring. Mark the exactly location on the mirror against the tube so that you can replace the plate EXACTLY the way you found it. Remove the corrector plate being careful not to remove any of the cork shims with it. Then, do your business to the plate and/or secondary.
Replace the plate back the way you found it and replace the retaining ring, being careful not to tighten it TOO tight.
Check your collimation...it will be a little off, but not a whole lot if you properly replaced the plate the way you found it. I got lucky with mine and my collimation was dead-solid perfect.
Give it a try if you want with the understanding that you reap what you sow; however, sometimes with older scopes it's good to do stuff like this so that we learn about how our scopes work. Getting rid of some of the fear factor can allow us to make substantial mods in a way that can improve the system.