1. A qualified mechanic: This is your best bet. A mechanic specializing in automotive electrical systems will be able to diagnose the problem accurately. They can test the fuel sending unit, the wiring harness for shorts or breaks, and the gauge in the instrument cluster to pinpoint the source of the malfunction.
2. An auto parts store with diagnostic capabilities: Some auto parts stores offer free diagnostic checks. They might be able to identify the faulty component, allowing you to purchase and replace the part yourself or have them install it. However, their diagnostic capabilities may be more limited than a professional mechanic's.
3. A specialized Oldsmobile repair shop (if you can find one): While less common now, some shops specialize in older vehicles. They might have more experience with the quirks of the 1999 Alero's fuel system.
Before contacting anyone: Try to gather as much information as possible about the problem. When does the gauge act up? Does anything else seem unusual (check engine light, other electrical issues)? The more details you can provide, the easier it will be for the mechanic to diagnose the problem efficiently.