Which type of train ticket is convenience for me to travel around Tokyo?

You can use either the Suica or Pasmo cards. Both have different names but do the exact same thing. You can use Pasmo where suica is accepted and Suica where pasmo is accepted. "Suica" is sold at JR offices and Tokyo monrorail offices. "Pasmo" is sold at all other railway stations that are not "JR" or Tokyo Monorail. Essentially it's a branding thing, but both do the exact same thing on either networks. Pasmo/suica are prepaid cards, so you don't have to waste time each time you need to buy a new ticket. They can be used on all the lines you mentioned and virtually every train line in the Tokyo Metropolitan area. 1000yen Tokyo Subway card isn't really useful unless you traveled a heck of a lot within on day. Just stick to pay as you go with the Suica/Pasmo card.

As others have said the Suica or Pasmo cards are going to be the easiest option. I found it hard trying to workout the best options with the discount cards and at the end of the day the saving wasn't much if any for traveling around Tokyo.

well you already have a suica so you know about the tickets. which ever you think is cheapier on the trains. but since you are changing trains so much i would say stick to the suica. do you really think you will spend 1000 yen on one train line?