Bathroom Spray 10 seconds ON on Demand switch

I’m a beginner designing a 10 seconds ON timer like circuit to drive the Motor of Bathroom Spray (I’m testing with LED as of now).

I found some delay on circuit and added 1 more TR to have inversion (see the attached pic).



I played with the R1, R2 & Caps to get 10 seconds ON after a long struggle.
But, when I switch OFF and ON the circuit next time, the LED is ON only for 3 seconds (caps already has some power). It depends how long I wait after OFF, for caps to discharge via R2.

But, my requirement is to get ON for 10 seconds all the time without even waiting. I tried a lot and failed to achieve what is needed. How can I get same 10 seconds LED ON and OFF after that till I switch off & ON again.

I realized that R2 must bigger than R1 or else caps wont charge enough to trigger T1.

I'm sure this circuit may not be good, Should I use 555 to get it?

please anyone can help me to have such circuit.

Thanks in advance

555 is very handful for your problem.