The current datepicker in Apex 20.1 looks like this:
However, is there a way to change its format to how a datepicker actually is in our laptops/systems? i.e. id i click on June it'd show all the months to choose from and if i choose 2021, it'd show all years to choose from.
This would reduce moving monthwise to reach a date.
Under the settings of your datepicker, you should be able to select month/year 'Navigation List for'.
This will render the month/year as select lists, and will honour the min/max date settings.
Note, these options appear differently in 21.1