Trying to find a 4 to 5 bedroom house at that price will be extremely difficult in this market. Rental inventory is tight and when something hits the market it is gone fast. You will need to raise your rent ceiling.
The inventory is tight. Probably the best you will be able to find is 3/4 bedroom and the rent will be slightly higher.
Please feel free to call and i can work with you.
Remerica Hometown One
Click on the first link below and you will see everything that is available with 3 bedrooms or more up to $1,100.00 a month. I realize you said a minimum of 4 bedrooms and up to $1,000.00, but there were only 2 listings available that fit that criteria.
Check the properties out below by clicking on the link and you will see what is available currently. The rental market is very strong and your request is a tough one to fit into your price range. Click on the second link and you will see what is available with 4 bedrooms or more, without a price limit, including multifamily properties.