1-Pcbs are made from schematics, not Fritzings.
2- If you don't have schematic capture software just draw the schematic with a black pen on a piece of printer paper and take a photo and post it.
3-You haven't included critical information like ic number of the motor controller (which appears to be an L293) or resistor values etc.
4- The resolution of your Fritzing is so low that the labels on the arduino pins and the ic are unreadable.
5- An arduino draws about 50 mA with nothing connected to it. I see one servo and two devices that could be servos but I don't know because you didn't post a schematic and your Fritzing is not very helpful and no one like Fritzings here anyway because if we need to see what the circuit is there is no substitute for a schematic and if we need to see how you wired it the only thing we accept are photos.
6- As can see from the table in the following link, an alkaline PP3 9V smoke alarm battery like the one you show powering the arduino has an amp hour rating of 0.565 Ah (565 mAh), meaning it can power a 565 mA load for 1 hour, or a 282 mA load for 2 hours or a 188 mA load for 3 hours or a 141 mA load for 4 hours or a 113 mA load for 5 hours etc etc etc. Looking at your circuit, if you plug in the battery at 12 noon, it will be dead by 3pm.
I think if you are serious enough to be contemplating this circuit and don't know how to draw a schematic on a piece of paper and post a photo of it then you have your priorities backwards. Knowing how to read and draw schematics effectively is far more important than any one circuit. If I were you I would start researching electronic circuit schematics and make that your #1 priority and put all this other stuff (which is basically electronic toys for entertainment) on a back burner. When you have learned how to read and draw schematics effectively you will eat circuits like this for breakfast and be able to breadboard them in 15 or 20 minutes. (maybe that's all it took you. I don't know , but you get the idea)
Moreover, if you buy electronics cookbooks (the electronic version of food cooking cookbooks) you will be able to build anything , anywhere, anytime. When you are learning, cookbooks are worth their weight in gold because they are like a key that unlocks many doors and allows you to go where (you have never gone before). I built a 10 band audio equilizer that was studio quality from LM307 op amps (Normally $3.95 at that time) that I got on sale for 25 cents each. I used Radioshack pots , and perf board and "The Audio Op Amp Cookbook" by Walter Jung. I used it for the front end of a color organ I built.
When you say shield, do you mean I just need to design the PCB without the Arduino, and then just connect that to the Arduino?
then just connect that to
then just plug it into