Had a bit of a problem myself .. too much noise in the photos.
Also I now use the Exposure Delay Mode (about 1 second) + the remote when using the tripod so there is absolutely no physical interaction with the camera .. all of this has reduced potential vibrations.
I then compared different sets of pictures and I can honestly say the quality of the picture in terms of clarity and sharpness is way better than before (still using the same kit I was using before!)
Conclusion .. Read your manuals and get to know your camera before you fiddle around with noise reduction tools. What you want is to get the best out of your camera first and then put the finishing touches if necessary ..
As I said, not trying to teach anything here .. .I'm the first one to learn from my own mistakes. I know a new lens would be good but before I can afford it, there are other things I can do to improve the quality of my photography ;)