Beware of marketing gimmicks! No points can mean no discount points, and maybe even no origination, but then you might have other fees that total the same as the quotes you get with "points". Do you really care what the charge is called? It is money out of your pocket either way.
Another common gimmick: You ask, "What are your closing costs?" They tell you that they are 1% or $2,500 or something small. They are not quoting all of the settlement charges and may not be quoting the 3rd party fees.
I have said many times before, there is no way for you to ensure that you get "the lowest rate and fees." I couldn't guarantee myself of the "best deal" without having some "insider information". Shop for an honest professional that is offering you a competative program and then you will not be disappointed with the results.