Arduino integration with LED lamp

Using Arduino Project Guidance
1

Hi to everybody!
I'm a beginner in Arduino, with some experience in programming.
I'm preparing my thesis project, and it's about integrating arduino in a led lamp.
I explain.
I want to connect to arduino
-a rotary softpot for controlling the rgb of the lamp
-a potentiometer for intensity
-a small microphone for controlling the on/off switch by clapping (for example).
All these signals are send by an IR to the led (GU10 model).
The idea is to place Arduino in a small base, that is also a lamp support.
In addition, I need arduino powered by batteries.

I want to ask you, what Arduino model could fit better in my project, without losing any of the functions i wrote before. Basically I need the smallest Arduino doing all of these things.
Can you help me finding it out?

Thank you in advance.
Alessio.

2

The tasks you listed are simple and the UNO could handle it.
But you said the Arduino would be in the base support of the lamp...where does the IR circuitry come in? You mention IR between Arduino and the LED. Why?