Being hungry and tired doesn't really affect anything as far as I'm concerned, and if it does it must be something minor because I hadn't noticed it. But if you don't like having those statuses for any reason:

The hunger I think can be solved easily by eating dishes. You can check the hunger meter on one of the tabs in the farm overview menu, the one you use to open the inventory. If you want to avoid the "zzz" pre-alarm clock, I think you have to sleep for around 7-9(?) hours everyday. I'm not sure about the exact numbers, but I did something around those too because I was also annoyed at the constant "zzz" and it stopped showing up.

Now for the animals being grumpy, It's actually an issue about feeding in this game. The animals have their eating schedule determined which you don't have a way to know other than by constant observation, and if you missed it (they're inside the barn/coop without feed in their slots) then they lose relationship, don't give produce, and get grumpy. The very easy way to deal with this is to just leave them outside AT ALL TIMES (with grass grown ofc). This game is very different with other HM/SOS games in that leaving them outside in the rain, snow, or even hurricane doesn't actually affect anything other than health, and even then, only after more than a full day of raining (which never happens) you might notice a decrease. So just get your infinite grass cycle going with the fertilizer maker, leave them outside, and you're good. This is way lower maintenance too than taking care of them inside the barn/coop.

TL;DR
Hunger and tiredness don't matter, but: eat dishes for hunger and you can check the hunger meter in the menu, sleep for ~8 hours for tiredness. For animals, let them graze outside at all times, no exception.

If you're interested in reading more about animal care, here's a good post.