and a new ball will explore like that in a new enclosure at night. They are a nocturnal animal so it will be looking like it's hunting for food at night but its probably just roaming. You both will get use to it.
Yeah definitely don't feed in a separate tub I did the same thing as a first time owner it's a pia and you will probably increase your chances of getting bit that way. Remember after feeding give your BP some time alone you don't want to stress them. Most of us here give them a 2-3 day rest period after a meal to handle them again.
Good luck and welcome to the addiction.