It is nice to hear from someone that has a heart for sharing the gospel with those that the Lord puts in your path.
On a basic level the best way to share the gospel in your community is to get to know your neighbors well. It is so easy to be about the business of living our own personal lives that we forget to remember that our primary purpose (after our relationship with the Lord) for us as followers of Christ is the Great Commission.
Getting to know your neighbors will take some sacrifice on your part, they will require some of your time, usually when its not convenient! As I say this it will mean that your will have to be purposeful in your actions. As your friendships grow, just be yourselves. With this I am assuming that in your daily conversations with people, Jesus is a regular part of your conversation.
Four areas of conversation that you can inquire with them about their views are; origin…where did we come from, meaning…what is purpose for the lives we live, morality…how do we know how to live, and destiny…where do we end up after our lives are over.
I would approach these conversations to start with by finding out their views on these topics as you get to know them well.
Most times you will find that people hold contradictory views within some of these topics…or they have not thought about them much, either way their thoughts will form the bases for discussions that lead to the foot of the cross.
I have found that the hardest part in theses conversations is taking steps to open up these types of conversations. After I get brave enough to start the conversation most people are OK sharing their views on these topics.
The final thing that I would add; is to be praying for the people in your neighborhood…it is important that the Lord goes before your preparing your heart and theirs. Even though I have included this last it should be in the beginning of your process to reach out to those around you. The Lord will be faithful.
As I think about your final question, about supporting organizations. It is hard for me to recommend different organizations because there are a number of good ones. Obviously you have asked this question within RZIM so I would certainly recommend supporting organizations that are benefiting your growth as a follower of Christ. Because of the question that you have asked I would also recommend that you check out the resources at Stand to Reason…STR,org. Like RZIM their purpose is to equip believers to share their faith well.
Blessing…may the fruit of your ministry be as big as your heart for others.