This is the second quadcopter that I have designed and built. It includes a gimbal for a gopro style camera (http://www.thingiverse.com/thing:1753735), GPS, and up to 18 minutes of flight time (With a 5200 mAh battery).
Here is a full parts list:
Screws: (Only one type of screw) anything that is 3mm diameter and about 10 mm long. (Must have a point at the end)
Motors (Package comes with screws and esc's): https://www.amazon.ca/JMT-Brushless-Outrunner-Controller-Quadcopter/dp/B00CTDLX98/ref=sr_1_2?ie=UTF8&qid=1473038186&sr=8-2&keywords=quadcopter+motors
Flight Controller: APM flight controller (I would recomend a package like this that includes GPS, telemetry, power module, wires, and a vibration dampening mount.) https://www.amazon.ca/APM2-8-Flight-Controller-NEO-M8N-Telemetry/dp/B01K1C5R5E/ref=sr_1_2?ie=UTF8&qid=1473038255&sr=8-2&keywords=apm+flight+controller
If you do not purchase a package then you will need a GPS, an APM power module, a vibration dampening mount, 3 pin servo wires, and telemetry.
Power Distribution Board: (This one includes slots for the LEDs) http://www.hobbyking.com/hobbyking/store/__99138__Matek_Micro_PDB_w_BEC_5V_and_12V_.html?ie=UTF8&newItems=C3FHNFVA0F2QKP%2C1
Lights (Not Necessary) : I got these because they are cheap and attach nicely to the motor. http://www.hobbyking.com/hobbyking/store/__88930__RGB_LED_Circle_X6_12V_Lighting_System.html
Props: 9*4.7 props. Any props will work but I used these (Make sure to get clockwise and counter clockwise). http://www.hobbyking.com/hobbyking/store/__55261__Hobbyking_8482_Propeller_9x4_7_Red_CW_2pcs_.html
Transmitter: Excellent affordable transmitter. http://www.hobbyking.com/hobbyking/store/__62710__Turnigy_TGY_i6_AFHDS_Transmitter_and_6CH_Receiver_Mode_2_.html
Receiver: The transmitter comes with a receiver but if you would like a longer rande more heavy duty one this receiver is amazing.
Battery: Any battery will work but this one is cheap and has a high capacity. I have had no problems with it so far. http://www.hobbyking.com/hobbyking/store/__56839__Multistar_High_Capacity_3S_5200mAh_Multi_Rotor_Lipo_Pack.html
Gimbal Motors: Make sure to get 2. http://www.hobbyking.com/hobbyking/store/__43037__2206_140Kv_Brushless_Gimbal_Motor_Ideal_for_GoPro_style_Cameras_.html
Gimbal Controller: https://www.amazon.ca/Gimbal-Controller-Driver-Two-axis-Brushless/dp/B017K4MG8C/ref=sr_1_1?ie=UTF8&qid=1473038979&sr=8-1&keywords=gimbal+controller
Use supports touching buildplate on the legs, the gimbal plate, and the top plate.
This is the gimbal in action.