Well hands-on experienced, migrated and completed tens of project.
Before going start, please share more details about your environments like which app are running on there, DB size, etc.
>> Require site to be moved from IIS 7.0 running Tomcat, JDK 8.x, MySQL 5.1 to cloud services. Open to Azure, AWS, or Kubernetes solutions. Looking for a solution to be handed over in a manner that we can self support ongoing. Focus on a smooth transition and manageable ongoing running costs for the services.