Question about folding methods

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Hi,

I have a question about folding methods. Out of my head there are 3: syntax, indent, manual.
When I set the mode to one of the "automatic" ones (syntax, indent), it doesn't seem that I can zf anymore. I tried to switch to manual (:set foldmethod=manual), set the fold manually and then switch back to indent but then my manual fold got opened again.
Is there any way to be in indent mode because then I can easily use "zc" and also use "zf" when I want to fold outside the indentations?
Is there a faster way to switch between folding methods than ":set foldmethod=<method>"?

Niels