How much does it cost?
Answer: It depends on which features you want to include. There are a few components to calculate when it comes to the cost to build an app like Airbnb. I have found an informative blog that describes - How much does it cost?
2. Is it possible to develop it by myself and how long?(no programming background)
Answer: Since you have no development experience, and it is a start up idea, then i will suggest you to hire a leading mobile app development company - OpenXcell, who have hands off experience to develop an online marketplace app like airbnb. This way you'll improve help in setting up your application like airbnb.