If you are considering a move to Vermont, ask your friends and family if they know anyone who has purchased a home in the area. Perhaps you can find a real estate agent referral through them. If you have no connections to the area, consider a reputable nationwide real estate firm such as Coldwell Banker or Remax. They will assign an agent to you.
The Internet is an amazing source of information regarding Vermont real estate market. You can search by city, region, price range, and house details (number of bedrooms, lot size, etc.). When you are choosing the area in which to purchase a home, you should also research county taxes, schools, and local government.
Once you have an agent to work with, clearly communicate your wants and needs with them. Be firm about your price range and your non-negotiable points (such as location, basements, yard size, number of bedrooms, etc.). Know the areas in which you are willing to compromise. Unless your budget is unlimited, there is almost always a need to be flexible on certain points. Know yourself and your needs well enough to identify where you can bend and where you must remain firm. Many wonderful homes can be found in the area, and a good real estate agent will work with you until you are comfortably moved into your new Vermont residence.