Your home is freehold if you own both the property and the land on which it is built for example a house rather than a flat. The HIP for a freehold property requries proof of owenership of the property and land.
Your home is leasehold when the land is owned by another person (the freeholder) and you have a lease agreement for a period of time for your home for example a flat within a block of flats. The HIP for a leasehold property is more complicated as it also includes a copy of the lease and information from the freeholder for example information on expenditure both past and planned future expenditure. Freeholders often charge a fee for providing this information, this fee is not included in the price of the HIP and would have to be paid by you directly to the freeholder.
Commonhold is a new system of freehold property ownership, intended to be used for properties within a building or estate. Commonhold owners will own their own freehold properties, together with a share in the commonhold association, a company that owns and manages the common parts of the development. The legislation only came into force in September 2004 so this form of ownership is unusual.
The information contained in a commohold HIP is more complicated and as for the leasehold HIP there are likely to be additional fees that you will need to pay directly.