There are many properties available for rent on a short term basis in the attractions area (short term rental is only allowed in certain areas). While these are mostly booked by vacationing families on a nightly or weekly basis, monthly terms are possible (subject to the owner having open availability of course). There are many sources for booking from direct from owner, to owner listing sites like homeaway or vrbo, to local Management Companies both big and small. The Company I work for is one of the larger Property Management and Rental Companies in the Disney area currently celebrating their 20th year in business. You can search our inventory of hundreds of vacation rentals on my website at http://www.bferryhomes.com/VacationRentalSearch
and you are welcome to contact our Reservations Department toll free at 1-877-423-1017 ito confirm availability and for a monthly rate quote which will be calculated based on the nightly/weekly rate with a discount applied. Note that short term rentals will be subject to 13% tax (in Kissimmee where the majority of rental properties closest to the attractions are located) just like a hotel. They will come fully furnished with all utilities included.