With that, I'd use a set of current tweezers on a PACE station or something similar if you have access to them.... Always tin the wires first... After tinning, a little flux (rosin core for electrical) in the cup, place wire in, then apply heat and allow solder to wick in. Try to keep the solder from running up the wire as best you can... it will get hot if holding.

USN, (squid) Work Center 590... 2M qualified (solder-bitch)