I'd like to try them all, but I had especially the tomato curry in mind. Never knew how to make curry.

Curries aren't that hard to make once you get the hang of it. The hard part is just having all of the ingredients ready and on hand.
For every curry that I make I specifically need to have chopped onions, ground red pepper, turmeric powder, and garlic & ginger paste (can be found in local indian food store).
The recipe for tomato curry to serve about 4 people is roughly as follows.
1 chopped onion
8 chopped roma tomato (less for bigger tomato variety)
4 tbsp canola oil
1/2 tsp each of salt, red pepper, ginger & garlic paste
1/4 tsp turmeric powder
First cook the onions in oil in a pot until the onions are browned. Then lower the stove heat and add the salt, garlic & ginger paste, red pepper, turmeric powder. These first steps are going to be the same regardless of what type of curry you're making.
Then add the tomatoes, and increase the heat while you mix up the ingredients thoroughly for about 2 min. Then lower the heat again, cover the pot and let it cook on low heat for another 10-15 min until the tomatoes are broken up and become very soft/mushy. Let it cool a bit and its ready to serve with rice or bread or whatever. If you want to add meat like chicken you have to increase the other ingredients, especially the onion.