I must confess...going into this is I am very nervous about how it will turn out!
Anime/Japanese comic books,
can be very hard to recreate in real life since it is a comic/cartoon, but:
If you want to get a hairstyle that is anime inspired, I suggest taking a picture of what you want to a hairdresser and seeing if they can style it or teach you how to (a good hair dresser is always willing to show you how to recreate a look)
Getting lots of layers is always a good idea, that way you can tease and style it. Teasing will help give you volume and when done right, can help you style the hair and keep it in place.
Since you don't normally see "normal" hair colors in anime, I suggest getting a fun and funky color to go with your hairstyle or getting clip in extensions (click the different parts of the sentence for links).
Bangs and pigtails are a great way to give your hair an instant anime look as well!
But honestly, a wig will be a lot easier to work with. There are many websites and stores where you can get wigs and hair extensions that are designed for Cosplaying. But, Ebay is a great way to find cheap wigs/extensions that you can alter just to your fitting.