Connect Grow Serve logo

Lititz Trinity

We are a Evangelical Christian Church

We are looking for a logo for our Vision Statement which is Connect, Grow, Serve. We would like 3 shapes (possibly circles), each a different color (possibly orange, green & blue) with a simple white object inside the shape to represent each word. We are thinking Connect could be orange and have a puzzle piece or 2 connected puzzle pieces, or something else that represents being connected. Grow would be green with a leaf or something else that represents growth. And serve would be a blue and have a hand, possibly cupped and holding a heart or just an open hand, or something else that represents serving. We would like the images to be simple, the should be easy to distinguish when printed in black & white or in color, they should be easy to distinguish from a distance or when printed very small or very large.
We would also like them to be connected like a cycle and be able to be taken out into 3 separate icons. See examples below.

Some examples:
http://familychurch.tv/learn-more/about

https://www.youtube.com/watch?v=zAxDNWR4Qi4