In my experience, if your going to go one by one and try to introduce them to BTCitcoin and explain how it works in order for them to accept payments of BTC , it would be really a lengthy process and you'll stop doing it before you start so the best suggestion I could make is either by making a mini seminar wherein you invite them altogether and talk about it and even show some of the YouTube videos that well known speakers of community are in and they cover almost everything... And in cases of online local businesses, you could try to send them a support ticket regarding the matter and I've had luck that they answered, "were already reviewing BTCitcoin payments and will consider it for the future" .
I agree it is much better to encourage and advertise Bitcoin to people in a more passive way where we just need to continue our support to Bitcoin my using it as a daily transaction for them to know and see what Bitcoin really is. In this time we don't much need to tell to them to used Bitcoin rather we just need to make an effort to let them see the possibilities and the development a head to Bitcoin.