The boundaries of Census Tracts are prone to change, especially when neighborhoods change rapidly between the decades. To compare historical with current data, you need to have consistent census tract boundaries. These datasets offer decennial census data standardized to the latest tract boundaries.
The first three options listed below require use of a GIS. For help with GIS contact UVA Library's Scholars' Lab.
The Census covers a variety of topics, not just about population:
The Census offers a wide variety of surveys, beyond the usual population counts and characteristics that you are already familiar with: