Given just what you have posted, you will need engineering help to decide which components to use. For example, for a simple resistor of a given value, there are hundreds of choices. Once all the components are properly defined, then you need to define the type of pcb, e.g., approximate size and number of layers. Do you want the old transistors to be soldered or socketed? Can you find all the parts?
Just a guess from my own experience, but once everything is defined, I would expect about 3 days (24 hours) to get a first draft. After that, maybe a day or two for revisions. I don't have a clue what such services cost per hour, but I suspect you are talking thousands, not hundreds of dollars. Remember, that does not include engineering costs.
I suggest downloading a free version of some common software and learning to do it yourself. If your purpose to to get a motor speed control and not to duplicate a vintage design, it will be much easier to start with modern chips and designs.