Azure API Management

Azure API Management allows organizations to publish APIs more securely, reliably, and at scale. Use API Management to drive API consumption among internal teams, partners, and developers while benefiting from business and log analytics available in the admin portal

Pros are

1. Consistent and modern API gateways for existing back-end services
2. Verifies API keys, JWT tokens, certificates, and other credentials
3. Help you to publish APIs to external, partner, and internal developers to unlock the potential of their data and services
4. High availability Responds to requests to perform operations at least 99.9% of the time.
5. Analytics, metrics and many more

Pricing

There are different categories of pricing available based on type and uses. See the below screen shot:

Logic Apps:

Azure Logic Apps is a cloud service that helps you schedule, automate, and orchestrate tasks, business processes, and workflows when you need to integrate apps, data, systems, and services across enterprises or organizations. Logic Apps simplifies how you design and build scalable solutions for app integration, data integration, system integration

Pros are

1. Maximum automation with hassle free service
2. Process and route orders across on-premises systems and cloud services
3. Can move uploaded files from an SFTP or FTP server to Azure Storage
4. Help you connect legacy, modern, and cutting-edge systems more easily and quickly by providing prebuilt APIs as Microsoft-managed connectors

Pricing

Usually two categories of pricing you may have Consumption pricing model which depends on how much you consume and have to pay as per your consumption.

another one Fixed pricing model. See the screen shot: