Why not just let them pull what they want that way they get the best picture and an extra HP being two vs 1 isn't the end of the world and have min. impact on a persons overall profile as it is just a HP. Sure it is nice knowing which CRA a bank will likely pull to expect accordingly but at the end of they day places like Chase will pull whom they want and isn't always geo based either whether a single or a double or even the dreaded triple pull possibly. To your other questions some lenders certainly pull more bureaus primary or also secondary (sage/innovis and many others) to get a better picture of the applicant in these time of elevated charge off as the more you know about someone the better your risks likely are when considering them for a credit product
