I think they are interchangable.
a. You can have Mark's Repair Shop fix your bike.
a1. You can get Mark's repair shop to fix your bike.
b. You can get a repair shop to fix your bike.
b2. You can have a repair shop fix your bike.
However it would be incorrect to remove the "to" from the second sentence. The full infinitive is required in such a construction.
I'm not a teacher.
Student or Learner