How can I build the basis of project programming?
You have not provided enough detail for us to answer that. How will the Arduino know where the bus is going next? How will the Arduino know the bus number?
What is the recommended Arduino board?
Any of them would work.
How to know if the RF transmitter will be compatible with the model of the selected Arduino?
The Arduino isn't an RF receiver, so you will connect an RF receiver to it. YOU have to be smart enough to choose one that is compatible with your RF transmitter.