How to find a doctor and a dentist? (Luxembourg)

I would like to find a general doctor - so that I won't have to do in a moment when I suddenly get ill... I heard that most doctors speak English, is it so? German would be fine for me as well. I also heard that for some doctors you need an appoitment but for some you can just walk in and wait. I found a website where you can look for doctors by their name, but not by parts of the city, so it did not really help. I live in Limpertsberg, and I imagine that if I had a fever or something, it would be good not to have to travel somewhere far away...

Can anyone help me with this?

I would also be grateful for any help finding a dentist.

Thanks in advance!

Satu