This is one way to avoid the chore of collecting all the required materials yourself, though you'll miss out on all the Smithing experience you'd gain from crafting thousands of nails and iron fittings. They will gradually add furnishing options over time, which can be a very slow process. When you ask a steward to decorate part of your home for you, they will not do so immediately. You can ask your steward to purchase furnishing options for the house.
You can ask your steward to purchase building materials for you: There is little advantage, other than completeness, to purchasing more than one chicken-you only get one nest even with three of them.Your chicken(s) will have a nest where you will be provided with chicken's eggs.Purchase up to three chickens for 25 gold (if you have built the exterior Animal Pen option).Your cow will provide jugs of milk over time in the cupboard closest to the butter churn, in your kitchen if you have built it.
You can ask them to make improvements to the house, which will allow you several options:
