Yes, Trulia lists apartments and houses for lease/rent.
Here are some Dallas apartments for rent: http://www.trulia.com/for_rent/Dallas,TX/x_map/
Here are some Dallas houses for rent: http://www.trulia.com/for_rent/Dallas,TX/SINGLE-FAMILY_HOME_
To get to either of these listings independently, just click "Rent" at the top of this screen.
Let me know if there's anything else I can help you with,
Community Manager, Trulia Voices