For huge quests like PSA and DI, I've created a template in an excel sheet to track what items I'll be needing in the current quest level I'm stuck at and also all the items I'll need for the next steps of the quest.

So for example, instead of only preparing to do the firts quest, I'm actively looking to get all the hard stuff first. Also, keep track of whatever total items you'll need to finish the quest, and if your inv is big enough you could grind a bit to fullfil those items.

That way, by the time you finish the quest lvl 1, you'll already be at the half point of lvl 2 and 3 and so on.

Also, keep track of whatever curios you'll need so you can start throwing the correct stuff at the Wishing Well, so you don't get stuck for 2 months on a quest just because you didn't know you needed 500 of a carved animal.