you need, filter , fan, light. an oscillating desk type fan to move air about and blow on the plants.
Then nutrients to feed them, pots to grow in, something like coco to plant into.
If you still live with your parents and they are not cool with growing then I would go with a smaller tent or closet grow and look at some of the stealth builds on here.
In all honesty if you don't want your parents to know then a small closet grow stealth grow is the only way forward. It is hard to hide the noise of a good fan and filter. If you go stealth then a tent like you originally posted but wider will be quieter. it has small fans that are low noise, you would need ona gel to stop smell because those little fans wont work with a carbon filter and in that size tent 150w max cfl bulb.
Up to you which direction you go. they are your parents, only you know what they will or wont accept in their house.