For the solder station, I use a Hakko 926. This unit is adjustable from about 325 to 900 degrees, and is equally comfortable in either hand.
The wand is lightweight, consumer replaceable tips (round and wedge), and comes up to full heat in only a few seconds. The cleaning pad (with wet sponge) is right in front, and the hanger for the wand will mount on either the right or left side, making it able to switch back after your recovery.
Don't forget to buy Wonder Solder or WBT for that project. If you are putting in the work, it may a well be with the best results.
As for music, choose something that is light and fun to keep your spirits up. I find that if I play my absolute favorite stuff, I literally stop working and listen to the tunes. This may be OK for you, depending on how long you are recovering and how much work you try to get accomplished.
My best wishes to you and your recovery.