What I bring and how I set up will revolve around the type of shoot I'm doing, but as an example of a simple and really effective setup, I've posted a snap I just happened to take of the setup, and a sample image from that day.
Since the OP is asking for outdoor lighting setups, here you go:
I'm using a 42" white bounce umbrella with a Nikon SB-800 as the main light source with a 52" white round reflector as a fill source. It's a standard 2 light source setup and very effective. Triggering is done with Pocket Wizards. The flash and umbrella are mounted to a 7' Norman light stand with a sandbag on one of its legs and the reflector is being held by a Photoflex LiteDisc holder mounted to an 8.5' Impact light stand with a sandbag on one of its legs.
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