replace true/false in datagridview columns

You can use the CellFormatting event of the DataGridView, e.g.:

void dataGridView_CellFormatting(object sender, DataGridViewCellFormattingEventArgs e)
{
    var grid = (DataGridView)sender;
    if (grid.Columns[e.ColumnIndex].Name == "IsActive")
    {
        e.Value = (bool)e.Value ? "MY_TEXT_FOR_TRUE" : "MY_TEXT_FOR_FALSE";
        e.FormattingApplied = true;
    }
}

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EDIT (as per comment):

It's very similar to what you're doing now, just remove the bound column and add a new column of the desired type and set the DataPropertyName properly e.g. :

this.dataGridView1.Columns.Remove("COL_TO_CUSTOMIZE");
var btnCol = new DataGridViewDisableButtonColumn();
btnCol.Name = "COL_TO_CUSTOMIZE";
btnCol.DataPropertyName = "COL_TO_CUSTOMIZE";
var col = this.dataGridView1.Columns.Add(btnCol);

Note that this append the column at the end, but you can decide the position of the column by using dataGridView.Columns.Insert method instead of Add.