Basic Requirements:
- Start on the Riverside Roost lot in Willow Creek
- Start with 0 Simoleons
- Produce and raise an heir to Young Adult
- Build a 2 bedroom/1 bath house worth $50k after depreciation
- Get to level 10 Rocket Science
- Get to level 10 Scientist career
- Travel to Sixam and collect 3 unique items
- Befriend and move in an alien
You can find the complete rules for this house here.