1) Always try to be running the expeditions based on the cards they drop. Priority are Pet Damage, Item Rating, Reincarnation, Pet Level, Pet Rank, Milk, Residue.
2) Any expedition that has Pet Damage card should be run 24/7.
3) If you can't run all Item Rating card expeditions and 1 reincarnation reinc card, rotate 1 team between the two.
4) The amount of card power gained is determined at every second by your Card Power bonus, so make sure to have Card Power pets equipped as much as possible.
5) You can almost fully ignore all other cards not listed in 1) except for an hour here and there once per Ascencion.
6) Pet Rank card expedition can be run towards the end of an Ascencion.
7) Until you get splash damage and are above A12, it is recommended to constantly run Butternut Forest, it will be a major driver of progress.
8) Zucchini Field expedition should be run almost all the time, or as frequently as possible despite not having Pet Damage or Item Rating cards solely due to it
directly boosting Item Rating itself.