There shouldnt be a need to specify GPS as the equipment to be used. There is more than one option for mapping sites. Someone from this list would provide what you are looking for
I'm no surveyor but as Blue Toes pointed out there are many different techniques for surveying sites. I ve never seen a GPS unit used to sett out a house. A surveyor from that website will be in a better position to offer advise. My sister built her house last year, the surveyor used a Total Station or EDM i think