Short answer is no you should not give your telescope a bath. How dirty is the primary? It has to be very dirty before you need to remove the mirror and give it a wash. I gave mine a wash late last year after about 3 years and only because I was changing over the rear plate to the new rear plate. I would not have bothered otherwise.
It is easy to clean the mirror. Putting it back together will require some skill though. Might I suggest you wait until the mirror is really dirty and then make sure you buy a Tak collimation scope for collimation.
I could start a service for collimating these scopes though.