Hi Scotland, first of all welcome in Doha, which I think is going to be a big move in your life, however, in accordance to your company location, and the housing allowance, you can have a 2 bedroom flat in a good location in Doha, and maybe less than the 10.000 QR.
Al-Saad, Mansura, Bin Mahmud and Muntazah are my recommended locations where you can find what you want, in the center of the city, and with decent neighbors around you.