Help with hair and decision.

Hello. I am really trying to decide or figure out what I should do with my hair. I've always had pretty thin hair. But now its also damaged and thin. From dyeing and bleaching it. Its also very elasticy. So I've really been thinking about trying to shave my head and see if I could get healthier or even thicker hair if possible. The other thing about my head is its always constantly greasey even when washing my hair. Right now I also am getting sores and are not sure what to do. Can anyone help me figure out what to do for my hair/head. Thank you in advanced.