I think I have iron deficiency

My hair has been falling out like crazy these holidays. I don't really mind because I have really thick hair and I kind of wanted to get it thinned, but not this way! It's so annoying. Anyway, I was talking to a friend today and she suggested that I might have iron deficiency. Apparently, when you don't have enough iron, your hair falls out. I don't understand how I could possibly have low iron because I eat meat quite frequently. Maybe I'll take some iron tablets? Or I'll buy this iron supplement that is also really good for my energy levels.