I have to recommend the LYSITHEA HOTEL on the larnaca -dekelia road, it has just re-opened in april 06 and has been re-furbished, its in an ideal location of cyprus and is across the road from a blue flag award beach, shops & resturants nearby , try GI cafe for the best cooked breakfast , ask for jimmy the boss of the cafe.
Check out the website for info
http://WWW.LYSITHEAHOTEL.COM ask for GEORGE the owner who is doing discount prices this year.