anyone else anemic?

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I went to the doctor yesterday because I've been having insane amounts of nose bleeds due to the air being so dry in my house (I have a gas heater) and he said that I'm probably anemic. Then it dawned on me that I'm always dizzy and when I run I'm constantly feeling like I'm going to pass out. They drew blood and haven't gotten back to me with the results yet, but since yesterday I've been noticing my symptoms more and more. Does anyone have any suggestions on how to get more iron besides eating red meat (I'm not really a big fan of steaks and things of that sort) and pills?