My house is 30 years old (I have lived here for the last 10 years or so), and I certainly would not consider having my wiring replaced.
I suspect any electrician you asked to check out your wiring would recommend it be replaced (after all, there is no money in it for them telling you it’s OK). I seem to recall reading some where a recommendation that wiring should be replaced after 25 years.
Of course much depends on the condition of your wiring – if it includes wiring with rubber insulation (which was common many years ago), then almost certainly large sections will have perished and require replacing. But if it uses PVC insulation, then even after 50 years, it should still be OK – unless it has been subject to overload or other damage (possibly from pests/vermin).
Make sure you get at least 3 quotes for any work, innocently asking each to check the wiring and advise whether it requires replacing.