Having a custom drawn designed house means a professional architect applies his skills limited to the individual homeowner's needs or what they have in mind. Factors considered in such a situation are the size of the site of construction, ideas of the individual homeowner, population around the area, and the nationally and locally existing building code plans. Time is also a considerable factor for completion of a custom designed house.
The field of drawing custom house plans is a crowded and competitive one. There are many architectural and design firms out there vying for a "piece of the pie." However, if you look closely at examples of their finished product, you will find huge differences among them. The better ones offer quality designs and highly detailed plans.
Cottage Plans : Cottage plans are usually crafted with warmth and cozy spacing in mind. Most cottage plans are not designed with the idea that the home will be very large. Cottage plans include characteristics such as cozy living spaces, wood siding and stone based porches among other things. Many also are designed to accommodate one and one half to two story homes with low pitched roofs. The exterior materials often used in cottage plans include brick or stucco.
There are dozens of other house plan style categories, such as A-Frames, Mission, Contemporary, Southwest, and Tudor to name just a few. A web search for house plans yields a mind blowing number of searchable sites. Most of these allow you to search for house plans, by style, number of bedrooms, baths, with or without a garage, or by sq. ft. of living space.