I wanted to sent a family member some pics through the mail.?

I my daughters father) since we cant get along in person. I decided to mail the pictures but i did not want him to have my new address right now anyway. can i send a letter throught the mail with only my name, city & state and zipcode. i heard u have to have a return address. but i was wondering if it would be denied if i dont put my house name & number. just city state & zip and my name of course. i really wanna send them but am afraid of what may happen if my address is given to him. help