If I want to learn to play the piano do I have to have a actual piano in the house?

I am 16 and I want to pick up some sort of hobby. I would really love to learn to play the piano. My cousin started lessons when we were younger, and her family bought a big piano for her to practice. I want to learn but my house is not big enough for a piano. Can I get away with some sort of keyboard? If so, what kind should I buy, and how expensive are they typically? (price range)

I think I might be good at playing the piano, one time while getting a manicure the manicurist asked if I played the piano, when I said no she said I have piano hands (long fingers, delicate hands or something) Then she suggested I start hand modelling, it was funny :)