What's the best way to wind a MagSafe 2 around the clip and power brick to make it easier to transport?
I realize your post states you're completely blind, but I had to add pictures to make it absolutely clear to a sighted helper what I'm attempting to describe to you. My answer may also help others have a healthier relationship with their MagSafe charger cables.

The MagSafe cable, where it connects to the power brick, tends to get too severely bent with 'normal usage', even though there is additional strain- and bend-relief built into the cable, and the cable integrity can be compromised. When winding the MagSafe cable for transport, I tend to position the bend-relief section of the cable so it sticks straight out from the power brick, then proceed to wind the MagSafe cable firmly around the wings. When wound correctly, and the last 2 inches of the cable is free, I loop the the MagSafe cable around the winding, and the connector neatly sits protected, inside the windings, at the top of the power brick between a wing and the bend-relief:



The power cable is wound neatly and fastened using a single Velcro-brand "One Wrap Thin Tie". The power cable has a natural tendency to coil in a particular radius which is optimal for keeping the wrap neat. Follow that coil, place the tie-wrap in the right spot, and all is neat.



I've been throwing this power supply in and out of my bag weekly for the past few years. I'm a little OCD, and I treat my equipment with care, so YMMV.