if (txtSearchTextBox.Text != string.Empty)
{
	 DataView dvNewDataViewObject = new DataView();
	 dvNewDataViewObject.Table = AnyDataset.AnyDataTableInsideIt;
	 dvNewDataViewObject.RowFilter = "[AnyColumnOfDataTable] LIKE " + "'%" + txtSearchTextBox.Text + "%'";
	 DataGridViewControl.DataSource = dvNewDataViewObject;
	 DataGridViewControlOnForm.Refresh();
}
else
{
	 DataGridViewControlOnForm.DataSource = ActualorAnyBindingSource;
	 ActualorAnyAdapter.Fill(AnyDataset.AnyDataTableInsideIt);
	 DataGridViewControlOnForm.Refresh();
}

The above snippet can be used in any EventHandler such as TextChanged to Filter/Search a DataBound DataGridView according to a search term. When the TextBox from which the search parameter is taken will be empty the original DataGridViewRows will be filled. The RowFilter Propery can be given other SQL compatible operators such as >,<,<=

Filter a DataGridView

C#