If you say that someone is not your type, you mean that they are not the sort of person who you usually find attractive. At first I thought he was rather ordinary looking, a little chubby, not my type see also blood type
If you refer to a person as a particular type, you mean that they have that particular appearance, character, or way of behaving. It's the first time I, a fair-skinned, freckly type, have sailed in the sun without burning = sort
If you refer to a particular thing or person as a type of something more general, you are considering that thing or person as an example of that more general group. Have you done this type of work before? Rates of interest for this type of borrowing can be high I am a very determined type of person. = sort, kind
A type of something is a group of those things that have particular features in common. There are various types of the disease In 1990, 25% of households were of this type. = sort, kind