Thanks for the answers.
That's true, I was not so clear when I spoke about "my project". At this stage, I am more looking to find rights components to start doing something cool with LED Strips. So, I think anything should be ok. The final goal is to add some decorative lights inside my home that I can control through my mobile phone.
For sure idea like browser app to controll the LED Strips is a suitable idea for me. It is probably something that I can quite easily managed to do (more than writing a TCP app with app protocol).
What I have difficulties to start is to chose a Arduino board. There is several ones and I am not sure to clearly understand which one could be suitable for me. It's probably because I have not read enough doc around that topics.