Electronic Prize Wheel

I am looking for someone to create the electronics/coding portion of a project I want to do. I am building the woodshop portion of this project just fine, just need help with an electronics/coding. Basically - I am looking for a roulette / prize wheel. I have a circle, divided into 10 pie pieces. On each piece is a 12V LED. On the bottom, is a pushbutton momentary switch. When the button is pushed and held, the lights chase around the circle quickly, with a Beep for each move. When the button is released, the lights gradually slow down, and eventually stop on a pie piece, and remains steady with a steady tone for 5 seconds. Then shuts off and awaits another push. I am not too worried about randomness. If it is truly random, that would be great, or it can be a function of when the button is released, just stopping based on time. Needs to be as small as possible, as it will be mounted behind a 8X11 hanging sign. If the 12v LED's are too onerous, we could use 10 relays, and I can hook lights up to those. I understand the Arduino Nano might be a good solution for this - so I would just need the code, and a parts list and diagram of how to hook everything up. But a dedicated breadboard where I connect power, switch and lights would work as well. I could also implement a master power switch, that would be separate from the action pushbutton, if needed. Like if it needed to boot up or get ready for a few seconds before button push.