If you haven't already, have a look at our Accommodation in Thailand page, which gives a fairly comprehensive breakdown of how the property in Bangkok works as well as give ideas of where you may be able to look.
I would also have a look at our Accommodation in Bangkok and Areas and Suburbs in Bangkok pages to get an idea of the city's layout, and what some of its most popular areas are.
Hope this helps a bit.
Best of luck,
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