1999 Chrysler LHS Starter won't engage every time

My car has gotten steadily worse over the last 4 months in regards to starting. I have a fully charged battery and everything lights up fully, but when I turn the ignition, all I hear is a loud, audible CLICK. Takes about 10-15 tries to get it to start turning over (sometimes it won't fully start over).

I was going to replace the starter (and the selenoid attached to the starter), but the manual says I may have to loosen the engine mounts to get the starter out?

My question is A) am I on the right path and B) do I really have to loosen the engine mounts to remove the starter on this vehicle?

Thanks for your help!