Easiest way to find a suitable accommodation for yourself is to browse through the Classified section of this website. The ones you like can be instantly contacted by phone. Areas like Old Air port, Doha Jadeed, Um-gualina, Muntaza, Najma, Abu Hamour, Madina Khalifa, Mamoura, Bin Omran, Old & New Al-Ghanim, Salwa Road etc. are within Doha. You can also find yourself good and probably fully furnished accommodation in Wakra at a bargain, which is not in Doha but very close to it.

Good luck!