I know what you mean. Everyone is different when it comes to speaking to people in general. Before I gave my life to Christ, I was very anti-social. No one was allowed to speak to me unless I spoke to them first. If I found they were trying to converse with me, I would leave ASAP, but I did notice that some people would say things to me like "Have a blessed day." or "Bless you." Although it was something that was annoying to hear, it did make me feel strangely good inside.
On the contrary, I would only let my family to speak to me about God, until I started to feel like they were trying to control me or make me feel like I'm a bad person, but when they kept it simple by saying "God loves you." or "It's never too late to ask for forgiveness." or "God's mercy is abundant." That stuck more in my head as a positive memory and it was more encouraging than someone saying that Christ died for me or the end is near. To a non-christian, they just really don't know what it means or the significance of it.
I would suggest to keep it simple. Talk about life before you get into the gospel, because for some, it can be a heavy topic. You never know what they blame God for or how they feel about him. When I talk to people about God, I use "for me, God has...." instead of saying God can, because some just simply don't believe in God and they need/want your personal examples and testimonies and not your theology unless they have question. That's worked for me at least.