growing vegtables and herbs questions

Hey, i'm completely new to growing and do not know what i'm doing at all.

I just got this "Burpee" kit with like 32 seed startings in it, with the plastic top and everything, I wanted to try growing tomatoes, broccoli, cucumbers, and cilantro.
Does anyone have good advice on using these grow kits"?
or other ways to grow indoors? just untill the spring comes in another month or so

So far I only tried with 4 tomatoe seeds and 4 brocoli seeds and put the top on, followed the instructions exactly.
They didn't sprout yet and it has only been a day, where is a good place in the house that is warm to keep them? would by the water heater in darkness be ok? or do you need any type of light for it?

Someone told me that if i leave it on top of the fridge it will be ok, there's only like 2 lights in the kitchen, not a dark place up there.
any advice? good tips?

the seeds are dark inside the grow medium. so light on them will not hurt.
i started some tomatoes, broccoli, peppers, basil, parsley 2-3 weeks ago under t12 florescent lights.
any questions pm me i will post you some pics tomorrow of what i have going on.
keep moist but do not overwater once they sprout.

I only do my gardening outdoors and don't start anything inside, but I would recommend throwing a couple of seeds into each hole and then thinning. Like bob said, t12's should definitely do the trick. You don't have to worry so much about the heat and humidity, but I wouldn't leave them completely dark. A little light is definitely a good thing. I've already got 3 inch tall spicey lettuce, romaine, garden lettuce, and radishs! Good spring for me so far!

When growing vegetables outside, it provides good result for growth aspect.
But problem arises when some attack of the crops by any insect.
The use of well known pest spray worked better for this purpose.

Just follow the instructions.
Remember you are just learning.
Later on, bear in mind that it makes more sense to grow stuff that would cost more to buy and use more space. I grow peppers (sweet and hot), and basil indoors (compact, easy and expensive in the shops). tomatoes and broccoli make more sense to but (for me) although I would like to try dwarf toms. Cilantro was good but stinks the house out and the misses doesn't like the smell.

is it good to grow brinjal and cauliflower in summer season??? as i am looking forward to sew them now

You can start the broccoli now to plant it outdoors. It's just too big a plant to grow indoors. The tomatoes are good to go if you want to grow them indoors, keep them nice and pruned. Otherwise, it's a bit early to start tomatoes and cukes. Wait a month at least, depending on how far south you live. Either way, both require lots of summer heat and light to make anything good.

apomixis, I respectfully disagree that 3-1 is too early to start tomatos. Im not in the south and always start mine either last week of feb. or 1st week of March.