Based on the staged changes, here are the appropriate commit messages:

1. For the documentation reorganization and tool renaming:
docs(opentelemetry): reorganize documentation and rename observability tools

- Move OpenTelemetry documentation to docs/ directory
- Rename tools from 'capture_llm_observability_opentelemetry' to 'llm_observability_otel'
- Rename PostHog tool from 'capture_llm_observability' to 'llm_observability_posthog'
- Update README to reflect new tool names and documentation structure

2. For the file deletions and additions:
chore(docs): remove old documentation files

- Delete OPENTELEMETRY.md and examples/opentelemetry-usage.md
- Add new comprehensive docs/opentelemetry.md

3. For the tool implementation changes:
refactor(tools): update tool names in implementation files

- Update tool names in opentelemetry-llm.tool.ts and posthog-llm.tool.ts
- Keep all functionality identical, only change naming

src/tools/opentelemetry-llm.tool.ts

@@ -65,15 +65,13 @@ function registerTools(server: McpServer) {
 	methodLogger.debug('Registering OpenTelemetry LLM observability tools...');
 
 	server.tool(
-		'capture_llm_observability_opentelemetry',
+		'llm_observability_otel',
 		`Captures LLM usage using OpenTelemetry for observability, including requests, responses, and performance metrics. Works with any OpenTelemetry-compatible backend like Jaeger, New Relic, Grafana, etc.`,
 		OpenTelemetryLlmInputSchema.shape,
 		captureOpenTelemetryLlmObservability,
 	);
 
-	methodLogger.debug(
-		'Successfully registered capture_llm_observability_opentelemetry tool.',
-	);
+	methodLogger.debug('Successfully registered llm_observability_otel tool.');
 }
 
 export default { registerTools };