Is it safe in Dubai?

Good afternoon.

I might have the chance of moving to Dubai with my wife and daughter. In case it´s relevant for the question I´m asking, I´m a 45 year old family man who likes spending time with his family, (water) sports and having a glass of wine in the evening...so crazy party weekends are definitely over.
After the case that was recently in the press about the british woman being raped in Dubai by two fellow citizen I´ve started doing some research about safety for women in Dubai and as always "the more you ask google, the more you get info you don´t wan´t to read".
End of the research is, that being imprisioned without a reason seems not to be uncommon in the UAE. Is this really the case or does the internet just mention the 4 or 5 same cases over and over again? Is it really easy having trouble with the law and ending up in jail? Can teenagers move around freely and meet friends etc. without parents having to drive/pick them up from everywhere? Uber safe for them?

Appreciate if I get honest replies from people who want to help and no "I hate that $%§&* place don´t go there" kind of feedback.

Just want to make sure, I´m taking the right decission for me and my family.

I´ve been to Dubai twice btw and loved it!

Thanks a lot