I really don't know how this will look after I hit submit, but use this formula for calculating just about anything having to do with property taxes. Sorry if city-data reformats it:
Tax
---------------------------------
Assessed Value | Millage Rate|
X
|
---------------------------------
Market Value | Assessment Rate
|
X
|
1 mill = .001
Example: If you want to find your taxes, take the market value and multiply by the assessment rate (4%). Then multiply your market/assessed value by the millage rate to get your taxes.
I hope that helps, but as far as closing attorney, they are a pretty minimal part of closing costs, so your choice in closing attorney shouldn't have too much impact on your total costs. The majority of your closing costs are lender fees (origination, etc). Most closing attorneys in town charge between $300-500 for a real estate closing.