I am providing this list of Property managements companies as a courtesy because of all the scams that I ran into while conducting my own search for a rental in Albuquerque try searching the links I have provided below. You can find most in the first two but I have provided a list of most property management companies in Albuquerque:

On craigslist never conduct all transactions via email only take serious if contact info is a local Phone number.

https://www.trulia.com/for_rent/Albuquerque,NM/SINGLE-FAMILY_HOME_type/

http://www.zillow.com/homes/Albuquerque-New-Mexico-_rb/

http://www.albuquerquepropertymanagement.co/

http://www.tysonproperties.com/available-rental-home-listings

http://realtyprosouthwest.com/homes-for-rent/

http://landofenchantmentrentals.com/available-rental-home-listings

http://www.brunikarr.com/available-rental-home-listings

http://www.aimpropertiesnm.com/Homes.html

http://www.cornerpostco.com/available-rental-home-listings

http://sky-management.com/houses

http://www.rhinorentalsnm.com/Rentals.html

http://www.rmsi2000.com/

http://albuquerque.brickleysusa.com/rentals.php