If we deploy a Microservice in azure AKS, there may be multiple pods and replica of same services. If Microservice want to keep any custom log information about it's flow or errors , where better to store such logs centrally? Any PaaS services? e. g. Azure Storage? Any real experience to share here?
I would suggest Azure Application Insigths. You can enrich your telemetry with aks details using this integration package:
... when using Microsoft Application Insights for Kubernetes, you will see Kubernetes related properties like Pod-Name, Deployment ... on all your telemetry entries. Proper values will also be set to make use of the rich features like enabling the Application Map to show the multiple micro services on the same map.
For logging within your application you can use the ILogger interface (if using .net) and pipe it to app insights.
Or you can write your own logging using the sdk, available in selected languages.
For java applications, you can pipe your logs as well. You probably have to manually add pod details to your telemetry using telemetry initializers as the Microsoft Application Insights for Kubernetes package is .Net only. As far as I know they use the kubernetes rest api to query for details.