Ok, let's forget BT, that's not the way to go. You said you could get the iPad on your home wireless network, so that's good. In order to sync the iPhone to your MBP, you have to set that up on the iPad under Settings/General/iTunes WiFi Sync. Open that option and it should allow you set it up. NOTE: You can only sync using WiFi if the iPad is on the power supply, not on its battery. That is a trip-up some folks miss reading.
Now to set up the MPB, use the USB cable and connect the iPad. Open iTunes and wait for the two to recognize each other. Once they do, the iPad will appear under the Devices section of the left panel. Click on that once and then on the Summary tab that appears on the right panel. Scroll down if you need to to get to Options and make sure "Sync with this iPad over Wi-Fi" is checked. Now iTunes is authorized to sync over Wi-Fi if the iPad initiates it.
With those done, when the iPad is on external power, you initiate Wi-Fi sync by going through Settings/General/iTunes Wi-Fi-Sync and tapping "Sync Now."
EDIT: change iPHone to iPad where fingers got ahead of brain.