You could look at ForSaleCyprus.com but to be honest, I've noticed the rental prices are creeping up on there, particularly for Kolossi and Erimi location. However, if you compare those prices to the ones you see on BuySell it will give you an idea of what you can get for your money....
A few others KaimarConsulting
http://www.kaimarconsulting.com/ (contact them directly for rentals as may not have them displayed on their site) , also Superior Real Estate
http://www.superiorrealestatecyprus.com -InRealityCyprus
http://www.inrealtycy.com/properties/AL ... RTIES.html - Limassol based and PropertyShopCyprus
http://propertyshopcyprus.com/cgi-bin/p ... ion=rental
Hope these help - but bear in mind that rentals can sometimes move very quickly and not all agents list them because of this.
We found ours by telephoning those we found in the Cyprus Weekly newspaper (comes out every Friday) and you do get private landlords advertising their properties here. Just keep an eye open for the same phone number keep appearing then you know you are dealing with an agent - or, they ask "which one" when you telephone to enquire. Remember - if you rent through an agent, they will receive 1 months cost of the rent as commission from the owner/landlord so you will be paying a slightly higher amount in rental to cover cost of the commission payment from the landlord. You can also ask them to reduce the rental amount - just because that's the price they quote, it doesn't necessarily mean it's fixed
You may be able to get around £10 to £20pm off the asking price.....
I came over for a weeks holiday, 2 months before we planned to move permanently. Stayed in a holiday apartment and hired a car and found our house within 3 days of looking. You will need to pay as a rule - 2 months rent in advance but you can also negotiate the cost if you are willing to pay more in advance.
Good luck