It'd likely help to clarify things to find out what you want from the experience.
Some considerations: How did you first experience go? What did you find pleasing and displeasing? What would you like to find on your second run-- items, character interactions, both, more? Would you like to use New Game Plus? Do you anticipate a third runthrough to space out those goals?
I admit I rushed my first run to avoid spoilers (I know myself), and that colored the playthrough. On the second, I used the new game+ method to collect all things. As for my third, I intend to try the hardest mode and really enjoy a slow build (i.e., play the game as Suzuki desired we would).
If you're more concerned with tips on collecting, we've threads to guide that.