There are low cost home ownership properties (e.g. shared ownership) in Hampshire which are available to buy through Help to Buy South.
The Help to Buy South scheme is open to households which earn between £18,000 and £80,000 a year. (if you earn less than this but have substantial savings/equity then there may be other schemes to help).
If purchasing, you should have savings of at least £2,500 to cover legal and other costs, and have a good credit history.
Read more about Help to Buy South.