Hey, wondering if there's a specific way you're supposed to quip each character like if each character has a a certain weapon in armor they're supposed to be equipped with and if so, could you tell me which character goes with which equipment set.

Well, as far as I know, no character can equip every weapon/armor. Because for some, they're too heavy or they fight with different weapons. As far as stuff like what weapons when they have multiple types to choose from, it's probably for the best to give them the one that gives the stats for them or best effect. Atleast for now, cause later you can find or craft legendary stuff. 

I gave every character that uses TP a "Talisman of Preservation" and a "TP Ring"

there are some characters that have a wedding ring with TP regen or TP preservation already like Elly,Tsubaki and Ryoko in this case i use the Wedding Ring instead. 

I also Use the Trickster Sphere in Ryen´s Ring so i can have TP regen and his good wedding ring. I also use crit orbs in every slot possible to get as as close to 100% as possible (Elly can reach 100% very easy i use protection 5% or AGI here instead) crits do like 300% damage in this game and are very strong.

i use Precision 10% runes and Aim 10% Spheres on all my damage dealers because i felt that my characters missed quite a lot and i personally hate missing in games, you can use health or mana here instead if you like to be tankier or like a bigger mana pool.

I use a "Ring of Mana" or a Sphere: Magic regen 5% on my Healers and Magic Damage Dealers and my Mira has protection +5% orbs and health spheres because she just has to stay alive.

You can also run Protection +5% and health on Tanks but i personally don´t like tanks that much in this game and if i do i just go full crit and aim/precision.

Aside from that i use a glyph and armor with the element i need and item´s with high stats and a lot of socket slots and the sphere: HP regen 5% is also very good on a Tank or another character with high HP.