Hi Cordelia and welcome!
Yes fading is the right way to go... The first thing to remember is never to indicate that you don't agree with the teachings of the organisation, to do so means an unfriendly inquisition and you will be disfellowshipped -- which would make family contact difficult.
So the best way to fade is to take it slowly and claim anything other than religious reasons for not attending. Say you are busy with other things for example but never go into details -- it's none of their business! Avoid calls from elders and don't turn up or answer the door if they say they are coming. They will hound you so be resolved to fade away from their attention. (They do give up in the end).
Look after your parents and all the best with your future life free of the obnoxious Borg.