The first year you can let them go wild because they're developing a root system and that's the most important thing at that stage. Second year you want to start training them to grow where you want. If you have a trellis or arbor or something, you would prune them accordingly and this would be in February or March, depending on where you are (climate.) So, this year you want to prune it a month ago so that there is one main trunk or two trunks like you have. Then you pinch off the buds and little lateral shoots up and down the trunks to force it to grow tall until it reaches whatever supports it. Like 5 feet tall at least. On the trunk there will be a leaf coming out of the trunk and a bud at the base of the leaf stem. Pinch the bud and leave the leaf. Easy to remember. Leave the leaves. These leaves will photosynthesize, but not take energy away from the system like a shoot trying to grow and compete with the tip shoot. You didn't mention your location (if you look over to the left of my message, you'll see where I am.) It would also be helpful to describe what kind of trellis you're using. Anyhow, if you have a trellis 5 or 6 feet high, you keep the trunks bare except for those leaves you left so the tips will grow vigorously. So if you are seeing little grapes forming on shoots 3 feet off the ground, not only remove the flowers or grapes, but the shoot they are growing on also. If your trunks are each 8 or 10 feet long, you should leave the shoots up on the wires and take the flowers off them this year. If you're dying to find out what they taste like and the vine is really well developed, you could leave a couple of clusters. Somebody jump in if I don't have this right.
My vines have yet to break bud and yours have sprouted shoots that already have flowers, so I'm surmising you're pretty far south of me. I have vines in my back yard that grow shoots in a season that are as long as 12 feet. My yard used to be good cotton ground. Eight miles away I have a small vineyard of muscadines and the soil is miserable, they get hit by chemical drift from the surrounding row crops, and the winter hurts them worse. It's taking some of those vines 3 years to reach the trellis wires if they live that long. I went and picked muscadines at a friend's vineyard a couple of years ago and it was awful. His wires were about 4 or 4.5 feet off the ground and sagged a little. Dense curtains of shoots on the outside of the row meant I had to crawl under the things on my knees and reach up to pick. I built my trellises so my wires are 5'6" high (that's my height.) I pick my grapes from chest to nose height. No crawling.