I do not know what chip/driver to use for a 7 segment 4 digit display
The first thing is know what kind of display you have, there are two types, Common Cathode and Common Anode.


Source: https://www.jameco.com/jameco/workshop/techtip/working-with-seven-segment-displays.html

The displays can be driven directly by a microprocessor (if the current that the LEDS have does not exceed the microprocessor output pin current).



Source: http://www.electronicwings.com/avr-atmega/7-segment-display-interfacing-with-atmega16-32

Or a 7 segment LED drive can be used to drive the display (these can be found on breakout boards or at a supplier like digikey):



Source: http://www.electronicwings.com/avr-atmega/7-segment-display-interfacing-with-atmega16-32