I lean towards gong fu with most greens I drink, which tend to be full leaf as opposed to Japanese greens which demand a kyusu imho.
Getting to know a green tea I would start with lots of leaf and a low water temp. As I become more familiar with the tea I can start to push it too higher and higher temps to see where it gives out. With really hot water on green leaves a nice gentle pour down the side of the brewing vessel seems to help - don't attack the leaf with boiling water.
A gaiwan should be fine but I prefer a small glass jug as greens and whites aren't too demanding of high temps and enclosed spaces, it's one of the few teas I can enjoy watching dance around without being concerned I'm losing flavour.
A rough idea of my white/green setup. I use one of the small metal strainers on the jug:

Lots of leaf and short infusions usually give me a few stunning cups around steeps 3,4,5 & 6 and plenty more tea on either end which will still give an English brewed cup a run for it's money.
I also find I learn a lot more about the tea if I can brew it 20 times in the course of a few hours as opposed to once or twice.
The glass jug tends too cool down quite a bit quicker than a lidded gaiwan so if you happen to forget about a steep for 10mins all is not lost - decant, drink and boil up some fresh water.