How do the strong acids dissociate?

In writing net ionic equations involving strong acids, one needs to know how strong acids dissociate. For example, the dissociation of $\ce{H2SO4}$:

$$\begin{align}\ce{ H2SO4 &-> 2H+ + SO4^{2-}\\ H_SO4 &-> H+ + HSO4^{-}\\ }\end{align}$$

The reason I ask is because apparently the molecular equation

$$\ce{H2SO4 + 2KOH -> 2H2O + K2SO4}$$

has the net-ionic form

$$\ce{H+ + OH- -> H2O}$$

It would be helpful if you could describe in general how I should write the dissociation of the strong acids in the net ionic equation.