First of all let me wish you all Ramadaan Mubarak, may Allah Guide you and shower his mercies on you all always.
I have heard of the merits of Salaatul tasbeeh, but was not sure how to perform it.
In my search i came up with two very informative websites that expalain things very nicely, instead of reproducing them here are the links
1.the merits of it
2. the method of reading it (and also here)
This Salaah does take a while to perform so make sure a makrooh time is not coming in when reading it. I read it just yesterday, and after completing it I felt a beautiful satisfation in my heart, I felt that I have offered something beautiful to Allah Subhanahu wa Ta'ala. The feeling is truly indescribable.
Hope you may also reap the rewards of this beautiful salaah this Ramadaan
Ma'Salaam & Enjoy your Ramadaan