I think a Chicken Coop could be a pretty good idea. Find eggs in the wild then craft a coop out of wood, nails, scrap, plant fibers and some eggs. Chickens in the coop lay eggs that can be gathered, or maybe spawn more chickens. Make the coop a 3x4 sized prefab or something
However you shouldn't be able to (in my opinion) be able to live entirely in your base. You need to scavenge, trade, gather to do other things. But being able to farm basic materials for survival like eggs, crops, water (maybe a craftable well) should all be doable