For SP recovery cards, you’ll be looking for purple (utility cards).
https://tos.guru/itos/database/cards?filter=TypeCard,5&page=1&sort=$ID,ASC#top
There are cards that recovers a percentage of your SP when you take damage and others that recover SP when you defeat certain races. As it was mentioned in this topic, you can equip Specter Monarch cards to recover SP upon defeating Dark property monsters. Rikaus is another card growing in popularity, because it increases the effect of SP pots.
To lvl up your cards, just sit down and feed other cards to the one you want to lvl up. It takes 54 lvl 1 cards to reach lvl 10. To farm cards, you can hunt monsters in Hunting Grounds for albums (they spawn a boss monster with 100% chance of dropping a card that can be an enhancement card or that boss card), fishing enhancement cards, doing CM and mercenary post missions.



