Hi bubbles,
Things are seldom as simple as they seem.
I think you may need to ring your local authority and have a long chat.
Ask what constitutes exempted development for car spaces within the curtiledge of a house in your estate.
In some LA's a driveway for up to two local car spaces may be considered to be exempted development in a house which is already built with full planning permission.
I'm a little surprised your dwelling doesn't already have a car space, but newer developments - including housing estates - may have associated mobility management plans which were submitted in support of their planning application and this may impinge on the number of cars they can support.
If its one of these newer estates built to a higher density and supposedly only with front grassed areas held in common as opposed to fenced in gardens you may have a problem of title as well, in that the space in front of your dwelling may not be yours to do with as you wish and you might check your title documents and Lease or Title Map of the house to determine this.
Either way first stop is the local planning officer to check you don't need permission, then ask which section is dealing with the !taking-in-charge" issue.
If you do need permission then the issue of whether the estate has been taken-in-charge may affect the your application - ownership of the path you wish to traverse may still be vested in either the building contractor or the development company.
If as it seems, you have no implied vehicular access rights to your door across the path, you may need to establish rights or purchase this access from the private owner.
If my suspicions about existence of the mobility management plan and the lack of vehicular access are both discovered to be true, then you should take advice on both from the Council, and you may also need specialist planning and specialised legal advice in order to secure your vehicular access, driveway installation and parking space.
Should all go according to plan you should consider providing a drained and paved area to be used for alighting, sited close to the house.
This should provide a safe and level approach to the front door, or a sloping approach in accordance with the requirements of Part M and Part k of the Building Regulations as amended.
Hope this helps.
ONQ