It would be best having white fur, but you could try bleaching. Bleach definitely removes the colour. As Loyal said, be sure you take precautionary steps to ensure the parts are protected and properly covered you don't want to change.
Bleach might, however, affect the strength of the fabric/fur, but I think i's fine if you do it once thoroughly.
I wouldn't suggest spray paining it, a lighter colour on top of the darker, more colourful one would be hard to bring out. That, and spray paint (especially on fursuits) tend to wear out.
So unless you're looking forward to doing it regularly, I'd suggest bleaching.