You will definitely want to claim the depreciation. The reason is that the IRS has a rule about it referred to as "allowed or allowable" depreciation. What this means for you, is that when you later sell the property (for a profit) there is something called Depreciation Recapture. Any deprecation "allowed or allowable" is recaptured at the time of the sale, whether or not you actually claimed it.
As far as TurboTax software goes, you will enter the rental property as an Asset in the rental section. The software will do the calculations for you. Essentially, if it is a residential single family home, it is Straight Line Depreciation over 27.5 years. As you enter the Asset, there will be blue text links on many of the screens that will give you more help and explanations as well.
If you still have a specific question you need help with how to answer, please post it and we can help you out.
**Say "Thanks" by clicking the thumb icon in a post
**Mark the post that answers your question by clicking on "Mark as Best Answer"