a) If you're looking for hotels in Luxembourg city primarily, please visit the hotel info page of the Luxembourg City tourist office: This page has a search mask for finding accommodation in our capital (by name / by star-rating).
Should you wish to select your accommodation by location, then use the Luxembourg City urban information system.
Yet another way would be to look at the LCTO's digimail of the City Hotels and restaurants guide.

b) If you're looking for hotel accommodation primarily outside the capital, please visit www.hotels.lu where you can find details on 64 countryside hotels (including a handful in the city)

c) The Hotel Information on the National Tourist Office (ONT) web site offers details on 230 hotels throughout the city and country. This site also offers hotel reservation facilities and detailed area maps.

d) Should you want to compare accommodation rates and find further Luxembourg Travel information then check out the Luxembourg pages on Trivago or indeed the Luxembourg info on holidaycheck.com.