docs: Migrate router documentation to three-tier structure (#5979)

Signed-off-by: akshatha-k <akshutk@gmail.com>
Signed-off-by: dagil-nvidia <dagil@nvidia.com>
Signed-off-by: Dan Gil <dagil@nvidia.com>
Co-authored-by: dagil-nvidia <dagil@nvidia.com>
Co-authored-by: Cursor <cursoragent@cursor.com>

examples/backends/vllm/deploy/README.md

@@ -249,7 +249,7 @@ args:
 - **Platform Setup**: [Dynamo Kubernetes Platform Installation](../../../../docs/kubernetes/installation_guide.md)
 - **SLA Planner**: [SLA Planner Quickstart Guide](../../../../docs/planner/sla_planner_quickstart.md)
 - **Examples**: [Deployment Examples](../../../../docs/examples/README.md)
-- **Architecture Docs**: [Disaggregated Serving](../../../../docs/design_docs/disagg_serving.md), [KV-Aware Routing](../../../../docs/router/kv_cache_routing.md)
+- **Architecture Docs**: [Disaggregated Serving](../../../../docs/design_docs/disagg_serving.md), [KV-Aware Routing](../../../../docs/router/README.md)
 
 ## Troubleshooting
 

examples/basics/multinode/README.md

@@ -5,7 +5,7 @@ This example demonstrates running Dynamo across multiple nodes with **KV-aware r
 For more information about the core concepts, see:
 
 - [Dynamo Disaggregated Serving](../../../docs/design_docs/disagg_serving.md)
-- [KV Cache Routing Architecture](../../../docs/router/kv_cache_routing.md)
+- [KV Cache Routing](../../../docs/router/README.md)
 
 ## Architecture Overview
 
@@ -65,7 +65,7 @@ This is particularly beneficial for:
 - **Similar queries**: Common prefixes are computed once and reused
 - **Batch processing**: Related requests can be routed to workers with shared context
 
-For detailed technical information about how KV routing works, see the [KV Cache Routing Architecture documentation](../../../docs/router/kv_cache_routing.md).
+For detailed technical information about how KV routing works, see the [Router Guide](../../../docs/router/router_guide.md).
 
 ## Prerequisites
 
@@ -475,7 +475,7 @@ python -m dynamo.frontend \
     --router-temperature 0.0     # Temperature for probabilistic routing (0 = deterministic)
 ```
 
-For more advanced configuration options including custom worker selection, block size tuning, and alternative indexing strategies, see the [KV Cache Routing documentation](../../../docs/router/kv_cache_routing.md).
+For more advanced configuration options including custom worker selection, block size tuning, and alternative indexing strategies, see the [Router Guide](../../../docs/router/router_guide.md).
 
 ## Cleanup