When you have a lot of things on a table, you have tablefuls of those things.
Having tablefuls of things can be good if they are things you like, but it can be bad if they are things you don't like or if there are too many things.
Examples:
We have tablefuls of food at the party.
There are tablefuls of toys in the playroom.
She put tablefuls of flowers on the table.
The cat knocked over tablefuls of cups.
We had tablefuls of presents at Christmas.
He ate tablefuls of candy and got a tummy ache.