It will help if you're a Christian so the logo is spirit-lead. The bible verses relating to "Put on the new" are:
Ephesians: 4:22-24 "to put off your old self,[a] which belongs to your former manner of life and is corrupt through deceitful desires, and to be renewed in the spirit of your minds, and to put on the new self, created after the likeness of God in true righteousness and holiness."
Do not lie to one another, since you laid aside the old self with its evil practices, and have put on the new self who is being renewed to a true knowledge according to the image of the One who created him.
We don't want the dove or any bird in the design.
Two concepts I've like you to experiment with, please.
Image concept #1:
The "new" body leaving the "old" behind.
The concept is to "put off" the old self and "put on" the new self, in Christ Jesus.
Two possible ways to do this are:
1. Possible two sides, dark (left) and bright (right), where a unisex figure is walking forward with half in each side. If possible, there's might be a way to add a "Cross" as well? But play around with it.
2. Have a unisex figure walking or running forward, leaving several other shades of itself behind. Possibly the old self being on the ground (dead) and seeing a fan of other shades of the figure cascading upwards to the main bright "new" figure. Again, if there's a cross somewhere, great, or not. Happy to see ideas
(I realize there's a high chance that none of that made sense, sorry)
Image concept #2:
Two hands cupping some dirt, but instead of a new tree sprouting out of the dirt, make it the CROSS. Or, even better, a unisex figure of a person in the shape of a cross - as in a "NEW Creation"
Image concept #3:
You could even incorporate something with the face of Jesus, but as a modern icon, not an old fashion image. And not a sad weeping image of Jesus.
In fact, so far, the designs with the modern looking Jesus Face has been our favourite.
I'll keep adding ideas where possible.