I hear your overall plan, but a lot of specific questions pop into my mind.
Can you provide some more specific information about your project?
For example, I understand you want to switch motor direction using batteries. Is this a low-power application, or are you switching high voltage control?
Are you willing to go with commercially available stand-alone modules, or are you determined to build your own circuit from scratch? (This will be a lot easier if you're open to integrating ready-made modules instead of reinventing the wheel, ... but it's your project.)
Short-range transmitter/receiver or something distance-remote? (that'll affect what type of xmtr/rcvr type you use.)
... In my mind, I just keep going back to the idea that with all the commercial stuff available to do this, you really need to consider using something off-the-shelf commercially.
I am mounting this on a cart that will push and pull respectively according to what I need. In my mind, everything would be powered by the batteries, no high voltage anything.
As for the commercial modules, it does depend on what you mean by commercially available and how sort of "built" it is, I would have no problem using some stuff as long as it's not too complicated and also not mains powered. Example: If there are transmitter-receiver packs I don't have to make the transmitter/receiver myself, I'm not that stubborn. (bad example, I hope you get what I mean.)
It's very short range, type 10 meters maximum.
What commercial product did you have in mind?
Because I live in Norway, there are absolutely NO shops that sells components, and all the web shops are ludicrously priced either the component itself or components + shipping, therefore it is best for me to order from china. Say mininthebox.com and dx.com. I will order components I cannot find here from other sites, so don't let this stop you from finding the "correct" components I need.
-pusur