23andme and similar have a horrible track record of privacy... I would highly suggest against using a service that combines the sequencing and the analysis. I would suggest, however, if you are interested in this line of data based health investigation, to have the sequencing done by someone good at sequencing and then have analysis done separately (or in conjunction between the third party analyzer and the sequencer). The cost would be more, but with a smaller shop you are much more likely to be able to request stringent data secrecy or even deletion.

I say this as a person who sysadminned a genetics lab, so my scientific knowledge of the subject is limited, but I did see the practical issues around the industry.