Current Consumption of ICs from Datasheets
This is a fairly standard (and important) part of design procedure for an electronic board. As a first round of estimations, you look first at power supply rail(s) for the ICs. Usually it is designated as "Vcc". If one certain power rail is common for a number of ICs, you take a sum of "Icc" for this rail, preferably "maximum" under "recommended operating conditions". In your case the manufacturer lists "typical", so you have no other choice as to use that number. But then you better apply a fudge factor of maybe 10%-20% to it. Same estimation applies to other power rails, if any different. These are budget numbers for ICs consumption alone.

But your device might have some loads connected to outputs of ICs, like LEDs, solenoids, etc. That's where "output current" might enter the equation. Your loads shouldn't draw more than "max output current". You need to calculate consumption of these loads, and add these currents to the Icc_total estimation (since the loads will be drawing current from the same Vcc rail). More, the total current from all loads to a certain IC shouldn't result in more that "max power dissipation" of that IC.

Absolute max of "Input current" parameter is likely inconsequential for the purpose of voltage regulator selection.

ADDITION: In  this particular CS5480 case, the main power supply is named VDDA, "analog power supply". The digital section, however, doesn't have a separate power rail. It gets its power internally, with internal 1.8V rail exposed on VDDD pin. This pin is not for external power, it needs only a stabilizing capacitor to operate. Power consumption is therefore listed only for VDDA pin, which includes everything internal.