So, I just joined and realized that Rescreatu can die if you do not feed them for about 15 days. Sometimes I do not have time to log in and play that often. Is there a way to keep my Rescreatu fed for some time, like how you can send Neopets to the hotel? 

Welcome to Rescreatu! You can use your showroom to store pets that you don't want to have to keep feeding. Pets in the showroom don't age or grow hungry, so there's no chance of them dying in there! You can access your showroom by clicking on the white dog up the top left. You can also stock up your food pen so that any pets on your profile are automatically fed while you're away. Click on the red apple to get to the food pen.

Oh, neat!  I had no idea about the showroom. Thank you for the tip! That really helps.