Hey there @Spice, welcome to the game!

Looks like you have two pets that are hatched already, but in case you still need help, I'll explain egg hatching. There are two ways to hatch your eggs: 1. Place the egg in your house (via Game tab > Pixpets > Pixpet Inventory), and wait the amount of time it takes to incubate that particular species. Each egg has a different incubation time, which can be found on the wiki. Other players can help speed up this time by interacting with your egg. Most people post their eggs in the Hatchery thread for egg interactions. 2. You can use an Instant Hatch Potion to finish the incubation immediately. All new players receive one, along with a few other potions. You can also buy more in the Super Potion shop, which is one of the currencies under your avatar on the right (looks like this: ). Super Pixcoins can be bought with regular pixcoins or pixpet tickets. If you have an Instant Hatch Potion, you can use it from the egg's hoard page (Game tab > make sure the egg is placed in your house, click it on the right column > Instant Hatch Potion).

I hope that helps; please let me know if anything I said was confusing ^^