Hi @AncaSD,
These drugs have been in use for many years now and the safety of them has been well-established. I myself am on TDF for many years with absolutely no problems so far (I am 36). We do have a thread discussing side-effects here (Possible side-effects from antiviral therapy) that may answer some of your questions.
It’s also important to keep in mind that the virus also causes effects (liver inflammation and injury) that are prevented by these medications, so not taking them is also a decision that can affect your health.
Thomas