I am looking for information on which degrees helped graduates find employment and what is the percentage of students with those degrees.
A great place to find gainful employment statistics for graduates would be the Texas Higher Education Website. They have a fantastic report system that will provide you with the breakdown even to the degree level of number of graduates, how many were employed, and at what salaries.
You will want to change the report type toward the top from "Gainful Employment - Public, Community, etc." to the one that says "Gainful Employment - Public Universities" and select University of Houston-Downtown from the list.
A great place to get started on many topics related to UHD statistics would be the Fact Book. Using the fact book you can find out percentages such as Baccalaureate & Masters Degrees Awarded by College, Which looks like it may help with the second part of your question - http://www.uhd.edu/about/irp/documents/Fact_Book_2012-2013.pdf