[5][6] His brother Denham Maurice Turner Bedford (1886–1974) followed him into HMS Britannia and the Royal Navy, rising to the rank of Rear Admiral.

In early 1919, he was in command of the scout cruiser HMS Forward when she rescued members of the Tolstoy family from the evacuation of Odessa, about to be captured by the Bolsheviks.

From 1932 to 1934 he was chief of staff to Vice-Admiral Sir William Fisher in the Mediterranean, then from 1934 to 1937 was flag officer commanding the Royal Indian Navy.

[3][13] While commanding the Royal Indian Navy, Bedford was also naval adviser to the Commander-in-Chief in India and defence member of the Viceroy's Executive Council.

[4] In retirement, Bedford lived at Easthampnett, near Chichester, Sussex, and was a member of the United Service Club in Pall Mall and the MCC.