Cam out to my parents but...

So I came out to my parents this week. I spoke to mum who spoke to dad. The way she found out was a bit accidental and we only spoke on the phone so far. But when she told dad he didn't take it as well. He is very conscious of what people think and say about him... And coming from a bit of a conservative society in which he had lived all his life, he is worried people will be talking about me, and himI am meeting them next week. Mum told me to avoid talking to them about my boyfriend at all, but it doesn't make sense to me because it will almost be like hiding it and pretend it does not exist.Any advice from anyone who has been through it?