Difference between array_push() and $array[] =
When you call a function in PHP (such as array_push()), there are overheads to the call, as PHP has to look up the function reference, find its position in memory and execute whatever code it defines.
Using $arr[] = 'some value'; does not require a function call, and implements the addition straight into the data structure. Thus, when adding a lot of data it is a lot quicker and resource-efficient to use $arr[].
You can add more than 1 element in one shot to array using array_push,
e.g. array_push($array_name, $element1, $element2,...)
Where $element1, $element2,... are elements to be added to array.
But if you want to add only one element at one time, then other method (i.e. using $array_name[]) should be preferred.