New Vegetarian...I think

Hi eveyone. I have always been an animal lover and just recently decided to become vegetarian after seeing this terrible and very cruel website of how these people slauter the animals. I'm totally not eating meat, fish, or seafood at all. I also don't eat cheese, eggs, or drink milk, but I do eat food with eggs and milk in it. I just want to know if that still makes me a vegetarian or not. Eventually I would like to work my way up to the vegan life style but I know right now that will be too hard for me. I would like some responses on if I would be considered a vegetarian or not and if I'm doing the right thing. Tweet