Just curious why you require privacy? I've had my whole genome sequenced three times. I was on the Board of Knome and had it done for the first time back in 2009. I'm a public member of Harvard's Public Genome Project and OpenHumans, which I think are great ways to share your data with medical researchers. I've publicly "outed" myself and have as part of my various public profiles the following:
I am Personal Genome Project participant #145, and my PGP ID is hu82E689. If you're interested, you can download my genome, SNPs, etc. data at https://my.pgp-hms.org/profile/hu82E689. Additional public data is available about me here: https://www.openhumans.org/member/JWCLEMENT/ If you discover anything interesting using this data, please let me know.
Most recently (December, 2016), I had my whole genome sequenced by Veritas Genetics for $1,000. They''re using the new Illumina HiSeq 10x, which is producing very good data. Expect about 6 months from the day you provide a sample (I prefer blood to saliva, since you don't have to deal with computationally discovering and deleting the bacterial DNA that would be in the saliva).
If you're just looking for genealogical and health data, for $199 you can have 23andMe sequence just a small portion of your genome and then download that data and run it on Promeathease.com. 23andMe has a good ancestry section to their online reports.
Good luck,
James