For a simple transformation of a button into a lever you'd want to use a T flipflop (T stands for toggle). It works as follows: you give a short pulse with the button, the flipflop changes it's output state from 0 to 1 or viceversa. Example: the flipflop is connected to a torch. You press the button once, torch goes off, you press the button one more time, torch goes on.
As for SR latch, in my opinion it isn't the best option. You'd need two buttons - one for turning on (or off, depends on what you want), and one more button for doing the reverse action. SR stands for SET RESET, which means one input sets the output, and the second input resets.
my way does what he wants
he has pulses, and he wants to turn them into a stable current
when there are pulses, my way turns on, when there arn't, it turns off
with a latch, then it's stuck at being always on