22 gauge should be fine for what you are doing. How many leds are going to be in each circuit and what is the rough total length of the interconnect wiring? If I remember correctly, I used 22 gauge for the point-to-point connections and 18 gauge for the jumpers between the drivers and the first and last mcpcb connections.
soldering the point-to-point connections is also easier with 22 AWG
hot-air is not a good tool here, go for a soldering Station with 80W
or something like this (about 60W)
http://kr.ersa.com/media/pdf/prospekte_kataloge/loetwerkzeuge/indp130_db_e_240608_web.pdf.
done my last light with it, was faster than my station!