Hey Neighbor!
That's a tough one. I am the kind of person that wants nothing to do with her neighbors because I don't want people to be coming over all the time and I don't like feeling like I always have to be "on" the way we tend to be around people. I work full time and maybe I just treasure my time off too much. ;p
I know it's hard to know how to deal with people coming into your world, especially when you don't know what to expect. But, please remember that you cannot control that. We need to let go of things we cannot control and except things for what they are - not what we think they should be. I know that's hard, but it is something I am also working on. Don't worry about your old neighbors that would take off when they saw you. Maybe they also have anxiety problems and were feeling anxious with the thought of being confronted by people - you never know! Don't worry if your driveway is a little out of bounds. If the landlord is upset about it, they are not upset with you. Just because he / she is a landlord doesn't mean they stop being a person. Most people are willing to work things out and avoid confrontation. If there's a problem, talk with him / her and work something out that is agreeable with both of you.
When you start feeling like people are talking about you, remember this quote: "You would be amazed if you knew how often people weren't thinking about you." People in general are so wrapped up in their own lives that they don't really dwell on other people's lives the way we think they do. I have this same problem but I always remind myself of that quote - it helps.
As far as advice on being a good neighbor, I would suggest just being a good neighbor by being friendly but not overbearing and invasive. Smile and say hi, offer help if you think your neighbor needs some help with something, but don't be offended if declined. Be a good neighbor by respecting your neighbors space, privacy and need to be who they are. Accept them for who they are and don't fret when they are not what you want them to be. That's what makes this world so wonderful - the fact that everyone is so different, but still so much alike.