As Andrew said (yet, hopefully you are always welcomed at home!!! You should be).
Home is the place where you live in the sense of you belonging there. It includes not only the structure, but also the people and the decorations, the fact you may have pictures of loved ones on the wall, or other things that make it feel like home.
Sometimes the word 'home' is used to mean the country of origin. I am from Italy, but live in Canada, so often people ask me: "When was the last time you went back home for a visit?" I tell them home is here for me. Similarly the parents' home may be called home. For example, often a university student that is living in another city or in a residence will be asked whether he is going home to visit his parents on the weekend. Even if he has been living on his own in the different city for years.
Home can be both a house or an apartment, or a teepee, or a mobile home, or wherever you live.