Hi Vani,
The place you are staying almost takes 1 hr to reach the place where i stay using public transport.
The apartments in these areas like Solln and Forstenrieder Allee are a bit on the higher end.
You can find more information about vacant apartments in the below websites..
Toytown Germany - English language news and chat and
Munich Mela: A portal for Indians in Germany
Hope it helps to find one sooner...
cheers,
Raji