Where would I get information on how to draw the water from the creek
There are many dealers of pumps and filters which should be usable to remove water from a stream. I believe you would want to put a filter on the intake to prevent sediment/plants/small animals from clogging your lines or the pump. One such dealer is
Stoney Creek Equipment , which is where I got the filter I use on the intake in my pond for livestock water. I use a gravity feed system through a 1" line to a freezeout hydrant below the dam, but in general their filters are designed to go on intakes to pumps. You should be able to get some ideas from their website and from the Pond Boss resource guide.
do I need a holding method before applying the water
I would say that depends on what kind of pumping system you get - I have a 110volt pump sitting around which I would use if it were me that is a "plug in while you use, run it into a garden hose" kind of setup. I also have shallow and deep well pumps which are hooked up to bladder/storage tanks and are controlled by pressure switches - the shallow well pump could definitely be used for your back irrigation. I'm sure there are other possiblities as well.
You MAY need to check the legality of removing water from the stream (?). I am pretty sure that if you were in the desert Southwest, someone would have a problem with it. In Georgia, maybe no problem.