honestly, bring more than enough. Think about it this way, if you plan to stay for 3 months, and get a job right at that 3 month end date, how long will it take for the work visa to go through? how will you support yourself for the period after that initial 3 months? --and 3 months really isn't
that long. be prepared to wait for up to 6 months!
Bring around $1000USD per month. You probably won't end up spending that much, but at least you'll have some sort of reserve incase you get into any trouble.