When selecting tools for learning geometry, a compass, protractor, and ruler are essential, but high precision is not necessary unless pursuing a career in drafting. Basic tools can be effective, and inexpensive options like clear plastic rulers from supermarkets are recommended. Keuffel & Esser compasses and drafting sets are praised for their superior quality compared to modern alternatives, often available on eBay at reasonable prices. Concerns about rust on older tools can be addressed with proper cleaning methods. The Alvin compass is mentioned as a potential option, though its quality may not match that of vintage K&E tools. Overall, the discussion emphasizes the value of well-engineered tools for a tactile learning experience in geometry, while also noting the decline in the market for high-quality drafting tools due to the rise of computer-aided design.