I have found this website to be useful for clients. It covers the majority of Houston. My understanding is that it is put out by Houston Police Department. I agree, we supposedly have one of the lowest in the nation.
Crime does happen here but it is not a huge issue. If a purse gets stolen out of a car somewhere, the word spreads fast because it is out of the ordinary. Many neighborhoods have police who partol the area. In some parts of Houston, as in any large city, crime is an issue but generally not is Spring.