Should i use my computer to jailbreak my iPhone?

I have an iPhone 5 running 7.0.4, and want to jailbreak it. I jailbroke my iPod a while back, and then got an iPhone 5 about a year ago. I decided to jailbreak it. When i jailbroke my iPod, i used my computer, but i'm now aware i can do it directly from the internet on my phone. What are the advantages/disadvantages of not using a computer, and what is your recommendation on what i should do?

Yes. Check it in youtube