All pets have 1 of 4 personality types which is shown when selected, and have at least 1 upgrade path with a focus on 'its' element type. Along with most having a secondary type as well, which can be selected once the bond is high enough.
There are 5 stations, Eating, Sleeping ( No minigame when selected evo heads there ) / Study, Play, Training (singular mini game when you have a selected pet head there. Although if a non-selected pet does them, no mini game is spawned.
A new egg will be ready every 20 minutes or so, and can be spawned by the egg icon next to the user information. The list icon also allows you to delete the save game, save the game, or head back to the main menu. With pop-ups for delete and returning to main menu.