So I just bought some teas?!

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For the Gyokuro
http://www.hibiki-an.com/readings/how-to…

For the black tea that depends on how you like it so you'll need to experiment :) Generally there are two ways:
- a lot of water + long waiting time + relatively small amount of tea (western way)
- little water + short waiting time + relatively large amount of tea (eastern way)
(in both cases you use hot 95-100C water)

I personally like it eastern way so I would use 2-3 teaspoon of tea, max 200ml of water, 30 sec. And then would add 15 seconds for each next brew. However you can also try western, I didn't experiment much but I think it's something like 1.5-2 teaspoons, 400ml water and 2-4 minutes.
Also whatever way you choose, it's a good idea to rinse the tea: when the tea is already in the pot, put in hot water and remove it in several seconds (this is not for drinking, throw that water away). Then start brewing.

I never drank Assam so I can't help you much here. However wiki says that there are 3 types of it: green, black, white and that will mainly determine how you need to brew it. I guess it's black most likely so you can brew it like the other black tea you have. If you are not sure, compare it to the Darjeeling tea you have: white and green teas have an unique appearance so it won't be hard to determine the type. Anyway even if you make mistake, you'll easily tell the type after brewing it: if it happens to be green, it will be super-bitter after you brew it as black tea, if it happens to be white, it will be completely tasteless.

for black tea, brew in boiling water for 4-5 minutes.
for green tea, brew in hot water (180-190 F) for 2-3 minutes.

3 grams per cup in general. with those quality teas you can steep them more than once.