Thanks to all suggestions,
After reading your suggestions I came to this conclusion that working with CMOS chips as an Square wave producer circuitry (or those cmos multivibrator chips, Do you guys know any?) is the best choice because they are assembled easily and are really trustable.
So the Attached picture shows the main problem which I am dealing with.
I have serious problems to understand how to do so. My only guess is that maybe a capacitor between the single ended stage and the doubled stage is able to help to set the output signal of the cmos chip to zero, and thus gives a suitable signal for the last doubled stage? If so, Then what about the efficiency of this circuitry than a normal doubled circuit instead of 40XX?
Any paper to enlighten me about how to connect a single ended circuit to a doubled powered one, Pros and Cons, would be really aplicated.