My first answer to this would have to be:- "if you're not sure about the location of pipes & wires, then call in a professional".
"Yeah, right" I hear you say and you've probably started drilling already by the time you read this.
Buried wires should always be laid either vertically or horizontally, usually vertically but never diagonally and should either be in a conduit or at least covered by some kind of capping. Pipes, be they water or gas, should also be vertical or horizontal only.
Therefore, if there are any switches, sockets, taps or outlets on the wall in question then don't drill anywhere above/below them.
There could, of course, be radiator pipes buried in the walls but this is unusual.
Regarding pipe/cable detectors, you get what you pay for with these but they do generally work as advertised.
Finally, drill carefully and you should be able to feel a sudden change in the density of the wall if there is anything buried in it.