Hey there @Seasons, welcome back to the site!

To export items or eggs out of the adventure, first you'll have to make sure that the pet you want to take items from is on your adventure squad, but has finished their adventure. If your pet is still in the adventure, you'll want to take them back to the Entrance Gate in Gateway City and click "Finish Adventure" in the bottom right. This will place them on standby and save their progress. Then you can export eggs or items by clicking the "Inventory" button next to the pet's sprite. On the next page you can select an item, then click "To Main Item Inventory," then select the quantity, and finally click "Send." (It's almost the same instructions for importing items to the adventure, except you'll want to click the "Equip" button next to the pet's sprite.)

To remove a pet from the adventure, again make sure that they've finished their adventure (click the "Finish Adventure" button at the Entrance Gate). Then go to your Adventure Squad page, find the pet you'd like to remove and click "Remove from Adventure Squad" to the right of that pet.

Please let me know if anything I said was confusing or if you have further questions!