Tax Value has no significant relation to Market Value in trying to determine if a property is priced well. Have your agent pull comparable sales to determine value instead of comparing list price to tax value.
Everything is negotiable in real estate - from the appliances, to personal property, to closing costs & warranties. Pay no mind to marketing gimmicks - instead negotiate what is important to you.
Know when to be patient and when to act fast. You should take your time, but once you know what you want - act quickly or you may very well miss the home you really wanted.
Inspections are not required by your lender, but they should be required by you to protect your biggest investment.
There are tons of different loan products available - finding the right fit for you should be one of the first things you think about when deciding to purchase a home.