Clean way to turn interrupts on and off?

vvmvbb:
When that happens, I don't want the slower, relatively less critical ISRs to cause me to miss the faster critical timing interrupts, so I'd turn off only the ones I want to ignore, then turn them back on when I care less.

...

I add a faster timer interrupt (say 125us) to sample some data.

What is the nature of this sampling, out of curiosity? Counting pulses? ADC conversion? Something else?