i hold the iron in one hand and the wire in my other hand between my thumb and finger next to my thumb, then i hold the solder in between my longest & ring finger in the same hand as the wire. it takes a bit of practice but after years of soldering it's easy for me.
Sounds like using chop sticks to eat Chinese!!
I forgot to mention i do tin both sides with solder first before my 'Chop stick' style of soldering.
If I can i remove the old solder in the hole on the coil or switch and put the stripped wire through the hole and bend the wire so the wire will sit there on its own, then I solder it.