Hello, my name is David and I'm a game developer studying my MSc in Digital Media at the University of Bremen, in Germany.
I have 2 years of experience developing games in Unity and I would like to help you with your project. With your current budget I can make a 8 pool games with simulated physics and a score system, you can choose the platform (web, pc or Android). Let me know if you are interested.
Best regards,
David Montoya