Hi I assume this is for immigration sponsorship? There are many steps to the process, the first involves getting the letter from the government to contact a laboratory. There will be a list of labs and from my experience as well as from many positive reviews, Viaguard/DDC/SponsorDNA (1-877-842-4827) has the fastest service and the lowest price per family. Getting results is only a few days once they have your swabs. They will actually arrange all the swabbing.
The biggest lag is the actual processing of the results by the government... there is nothing you can do there.