What are my chances of getting into Grad School?

Without a doubt you will get in. There is a graduate program for anyone that wants to put in the time and effort, and it certainly seems like you do (with the added benefit of your GPA not being ridiculously low). I would recommend against going with the shotgun approach to the application process as recommended above. I did this and while I got into some decent schools, I spent far too much time working on many mediocre application when I should have worked on fewer apps and just made them all amazing! Start the process early, make your statement of purpose great, and above all get the very best letters of recommendation possible. Admissions committees usually do first cuts with strictly GRE/GPA, then read the letters of recommendation, and finally maybe statement of purpose. Put in the research and find a good fit, you will not want to spend 4+ years at a place where you aren't happy. Call professors at the universities you are applying (they are usually more than helpful and very supportive). If you put in the time you will get a spot. Good luck!