How feasible is Uber’ing for 3 days in Houston?

I'll be in Houston with a friend for 3 days and we've been debating about renting a car or just using Uber for 3 days. What are your thoughts?

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I think our main gripe is that we're both just a little apprehensive about driving in such a big city. Thanks in advance.

Edit: We'll be around the Chinatown area if that makes any difference.