I'd love to own a large sailboat and go yachting around the world one day.
Would you like to go on a boat propelled partly or entirely by sails?
I imagine that I'd want a monohull sloop with a single mast and a mainsail. Most boats of that type will have a small motor for auxillary drive.
That is awesome, how many people will you take with you? i have read that the ideal will be 4 to get across the Atlantic
Well if we were sailing on a sloop with only one head-sail and a jib, I would imagine it would be nice to have at least 3 people.
Good calculated, also Yacht magazine says you need to save a lot because you will spend a lot of money eating out, speccially europe or the carribean
Hobie Cat
The Hobie Cat is a small sailing catamaran manufactured by the Hobie Cat Company. 
Hobie's line of products ranges from surfboards to catamaran sailboats to kayaks and stand-up paddle boards, though the Hobie Cat Company is most famous around the world for its catamarans. Hobie also designed a very successful monohull, the Hobie 33.
History.
The company founder, Hobart Alter, began as a surfboard manufacturer in the late 1950s. 
According to another source, Alter's focus changed in 1961 to
Sailboat
A sailboat or sailing boat is a boat propelled partly or entirely by sails smaller than a sailing ship. Distinctions in what constitutes a sailing boat and ship vary by region and maritime culture.
Types.
Although sailboat terminology has varied across history, many terms have specific meanings in the context of modern yachting. A great number of sailboat-types may be distinguished by size, hull configuration, keel type, purpose, number and configuration of masts, and sail plan.
Popular monohull designs include: