In the US, important things come by mail: your green card, your Social Security card, bank cards, tax forms, USCIS notices and court letters. A wrong address can mean a lost card and a long wait.
Use the address where you actually live and can get mail. If you are in a hotel or a friend's home for the first weeks:
Give your friend's address with c/o (care of) and their name: "c/o Maria Lopez".
For a hotel, ask the front desk if they hold mail for guests. Many do not.
Your school or employer may let you use their address for some things. Ask first.
Do not give an address where you will not be in two months for a card you are waiting for, unless someone there will send it on.
How to write a US address
Line 1: name Line 2: street number and street name, plus apartment number ("Apt 4B" or "#4B") Line 3: city, state code, ZIP code ("Austin, TX 78701")
The apartment number is the most common thing people forget. Without it, mail often goes back.
Update USCIS within 10 days at uscis.gov/addresschange. See Changing your address with USCIS.
F-1, J-1 and M-1 students also tell the school within 10 days.
Set up mail forwarding with the Postal Service at usps.com (it forwards most mail for a time; a small identity check fee applies online).
Update your bank, employer, DMV and phone company.
Using a forwarding service address for USCIS. Use where you live.
A name on the mailbox that does not match. Put your full name on the mailbox or tell the building manager.
Not telling USCIS after a move. Cards and notices are not always forwarded.