I use a vigoro vegetable 10-10-10 once weekly. I mix a half cap in 2 gallons of water in a watering can and water each of my 4 plants. Last week was the first double shot, where they got a sprinkle of blood meal and a shot of the vigoro. If you have rhizomes, it's probably best to stick to the weekly or biweekly plan. Too much can be a bad thing.
Make sure it's a vegetable fertilizer. You are eventually going to consume them in one way shape or form, so you will want something that is vegetable related. Tomato fertilizer is good, I used that my first year.
I also till in some blood meal and top the soil with a mushroom compost/manure/topsoil/sphagnum mix. It has some NPK inherent in there to promote growth.
When it's warm out and they have water, the bines can grow over a foot in a day. It's been unseasonably cool as of late, and I'm waiting for the hot stuff to really Kickstart my growth. I chopped it all down in late April to eliminate my bulls, and have between 6-10 feet of growth on all my plants. Once the thick of hot summer hits, I'm watering with about 2-3 gallons per plant in the mornings.