Your code is incomplete. It is missing library includes and variable declaration at the least. Kudos for using code tags, though.
You will need to tell us what that means. My crystal ball is out for an oil change.
Here is a start for that. Non-blocking timing tutorials:
Blink without delay().
Beginner's guide to millis().
Several things at a time.
State change detection is a good way to sense when a button input has changed from not pressed to pressed so that you can take an action only one time instead of as long as the button is pressed. The linked Arduino tutorial uses active high switches wired to Vcc with an external pulldown. My state change for active low inputs uses switches wired to ground and the internal pullup which is the more professionally accepted way to wire switches. The tutorial has example code and how to wire the switches.
To be of more help, a schematic would be helpful.
How are the servos powered?