IVs and EMs
Ditto + Pokemon = Egg
(Ditto + Destiny Knot) + Pokemon = Saves at least 3 IVs off ditto + Egg
(Ditto + Destiny Knot) + (Pokemon + Everstone) = Saved Nature + AL 3 saved IVs + Egg
Ditto + (Pokemon + Everstone) = Saved Nature + Egg
Ditto + (Pokemon + Everstone + Eligible Egg move) = Egg Move + Saved Nature + Egg
(Ditto + Destiny Knot) + (Pokemon + Everstone + Eligible Egg move) = Egg Move + Saved Nature + Egg + AL Saved 3 IVs
(Parent Pokemon in same Egg Group + Eligible Egg Move + Destiny Knot) + (Pokemon + Everstone + Eligible Egg move) = Egg Move + Other Parent Egg Moves + Saved Nature + Egg + AL Saved 3 IVs
(Parent Pokemon in same Egg Group + Eligible Egg Move) + (Pokemon + Everstone + Eligible Egg move) = Egg Move + Other Parent Egg Moves + Saved Nature + Egg
6IV + 6IV = Minimum 4IV, 1/32 Chance for 6IV. Takes much longer if you don't have 2 6IVs.
Masuda Method
Foreign Pokemon + Domestic Pokemon = Higher chance for shiny.
IV Checking
Kiloude City (XY) Pokemon Center
Battle Resort (ORAS) Pokemon Center
0-15: "It has rather decent stats, I'd say. That's how I judge it."
16-25: "It's definitely got some good stats. That's how I judge it."
26-30: "This Pokémon has some fantastic stats. That's how I judge it."
31: "Stats like those... They simply can't be beat! That's how I judge it."
Hidden Power
Third page down
Breed with parent with 30 wanted IV or ditto with 30 wanted IV and rehash until correct typing.
Typed with maximum frustration in mind.