The RS+ survey kit will work fine for your needs and there is nothing wrong with the standard traversing of the base. After the first base position you want to manually enter in the coordinates from your last rover position, but for maximum accuracy I would plan the mission and select your base points ahead of time. You can then use the two units to collect & post-process those base positions ahead of time. Then all you have to do is manually enter those coordinates into Reachview.
If you are travelling long enough distances to warrant it, I would suggest the parts listed in the linked post below to make a car mount. It’s a quick release from the rover pole to the magnetic mount for your vehicle.