Remember, judicial decisions are a subsidiary means of determining international law according to the ICJ Statute Article 38(1).
Similar to U.S. legal research, running keyword searches for cases at the start of your research can lead to overwhelming results and it can be hard to sift through them without context. Starting with secondary sources and determining which tribunals are most relevant for your situation will help you locate key cases in a targeted manner, then you can expand your research from those cases.
International tribunal decisions can generally be located in one of a few databases of decisions, through sources compiling the decisions of a particular tribunal, or at the tribunal website.