1. there are supermarkets and Malls all around Doha. There is no such area as " closer to supermarkets". There are a lot of them.
2. In Doha everywhere is SAFE!
3. To get a taxi is difficult always and everywhere. And even if you get one, YOU are the one who have to explain to the driver how to reach your destination point. All taxi drivers are "first day in Doha".
4. Forget about this budget for this kind of accommodation.
- for "ff studio/1 br ff apartment" be ready to pay QR 5500-7000
- for "around QR4000-4500/mth." you will get a room with sharing bathroom and sharing kitchen in 4-BR villa. (if you are lucky!)