Jane!...don't suffer...where there is a will, there is a way!
So, The waterline I have is from Canadian Tire...I think I spent 20 bucks for 100'. (it comes in a big roll...think garden hose, but black and more rigid...like pex tubing, but not as expensive) I originally used garden hose, but scared the bejeezers out of myself when the two sections I was using pulled apart in the pipe. Thankfully, it happened just as the connection came out of the pipe. Having a garden hose stuck up in your grey water line would SUCK! If you have a short-ish run of pipe from the outlet to the house and only need one hose...go for it. Garden hose works, but it can sometimes be like pushing a rope up a hill...the water line is far more rigid and just doesn't buckle.
The pump was from Canadian Tire as well...whatever you can get cheaply. I love and use these kinds of pumps all the time. I can't even count how many times they have saved me from disaster. $60...$80 it's all money well spent! I can wager your nieghbour has one you could borrow.
The hot water comes from my canner. I boil up some water and fill the bucket. Fill it up again so I can top up the water in the bucket. (remember some of the water will be in the line and coming back down the pipe so you will need more than the single bucket for the pump to have something to pump back up.) Cold water works as well....just slower.
Good luck!