You can write to csv without the header using header=False and without the index using index=False. If desired, you also can modify the separator using sep.
CSV example with no header row, omitting the header row:
df.to_csv('filename.csv', header=False)
TSV (tab-separated) example, omitting the index column:
TypeError: Passing a bool to header is invalid. Use header=None
for no header or header=int or list-like of ints to specify the
row(s) making up the column names