I unsure where you get stuff in your hometown, but in NYC you can get eggs by taking a walk down the block to a gas station, convenience store, or grocery store. There are more than enough places here, in every borough, that offer grass fed whatever: butter, cheese, meats, and milk. Look for Fairway and Trader Joe's.
Yes, there are food delivery options. Shop Rite has Peapod. Check out others. Use Google.
Try reading some of the thousands of articles on nutrition on this site. Use the search engine. See Christian Thibaudeau's beginner series on nutrition.
What borough are you moving to?