Lambros house is small but definitely nice and well furnished. There is plenty of space outdoor also that is great considering the nice weather of the greek islands.
Lambros was really kind and picked us up at the port and took us to the house. He also asked if we needed a lift to the airport the day we left.
The house is located in Ano Mera, in the centre of Mykonos Island. The place is nice and quiet, we had the best meal of our vacation in the city square, but you definitely need some form of transportation to move around (you probably get one anyway to explore the island).
The only downside for us was the ATV rental that Lambros recommended to us: we definitely got ripped off; extremely pricey considering we got two old, unreliable and not really safe ATVs. We didn't return them back as we had only one and a half day in Mykonos and we didn't want to waste too many time dealing with them, that was probably a mistake.
We tried to ask for a refund but we couldn't get it.
The company is called "My Rent Mykonos", definitely not recommended. There are so many options in the island it won't be difficult to find a better one.