When I lived in a terraced house with my kitchen at the back like yours I fitted the hood myself & had it as recirculating, if you want it to vent to the outside then you will need a ducting kit which you can buy reasonably from say Screwfix, & either box in or run the flexi tube along the tops of your cupboards or in the ceiling/floor space ,cut a hole in an outside wall to fit the vent grill.
A local handyman should be able to do this for you if you feel daunted but check his recommendations first.
Good luck