Harry,
As a general rule, you don't want to receive a gift of property if you can inherit it. The cost basis for the property your uncle gives you is his adjusted cost basis or the FMV whichever is less. If your uncle gifts you property he bought for $5K many years ago, and is worth $200K today, your cost basis will be your uncle's $5K. When you go to sell the property, you will have to pay the capital gains taxes due on the difference between $5K and your net sale price.
Gifting in chunks avoids federal estate tax impacts for your uncle but does not change the cost basis for the property gifted to you.
Why not have your uncle put the property into a revocable trust and name you as the beneficiary of the trust upon his death. Your uncle can let you use the property as your primary residence or give you the authority to manage the property as a rental. When your uncle dies, the property passes to you at a stepped up basis equal to the FMV at his date of death. Not only does the property avoid probate as a trust asset, but you have no capital gains taxes should you decide to sell at FMV after you inherit.