Electronic knowledge wanted: Transistor/Transistor logic
To summarize: I want to know how to construct AND, OR, NOT, XOR and the like and integrate it into my circuit using primarily transistors, and maybe some capacitors. Is there something I have gotten mistaken in this premise? Is this really the proper use for a transistor? Should I use something else, is there a better method? Please note that I have little experience in non-software areas (I understand what voltage and amperage is (kinda) and what serial and parallel circuits are, and the proper configurations of positive and negative). I also do not want to use a microcontroller for this; Just me and my wires.
I would be immensely thankful for some help. I apologize in advance if I have gotten anything wrong here.