Organizing inherited services in webapi controller

My problem is this:

1. I need to call two different services with similar API through HTTP. Lets say I derived IBaseService with two methods - MakeOrder and CancelOrder.
2. Service I want to call is determined by request I receive - It contains serviceToCall attribute.
3. I use Asp.NET core basic dependency container and want to have nice code - some workaround'd be easy thought.

The thing is that I got lost in all the patterns and approaches I can choose (besides DI Factory method or Strategy came to my mind).

Could you guys give me a hint how to solve the isue? I bet there is a way how to do it without if statement in every method.