table - on delete - how to insert a record into a different table

Postgresql: 9.5

I have two tables xyz and delete_file:

CREATE TABLE xyz
(
id integer NOT NULL DEFAULT nextval(('xyz_id_seq'::text)::regclass),
name character varying DEFAULT ''::character varying,
ext character varying,
created_timestamp timestamp with time zone DEFAULT now(),
CONSTRAINT xyz_pkey PRIMARY KEY (id),
CONSTRAINT xyz_fk_id_fkey FOREIGN KEY (fk_id)
REFERENCES abc (id) MATCH SIMPLE
ON UPDATE NO ACTION ON DELETE CASCADE
)
WITH (
OIDS=FALSE
);

CREATE TABLE delete_file
(
id integer NOT NULL DEFAULT nextval(('delete_file_id_seq'::text)::regclass),
file_location text
)
WITH (
OIDS=FALSE
);

When a row is deleted from the table xyz I want to insert a row into the table delete_file using an insert statement similar to this with the values from the row to be deleted.

INSERT INTO delete_file (file_location) (select to_char(created_timestamp,'YYYY')||'/'|| to_char(created_timestamp,'MM') || '/' || to_char(created_timestamp,'DD') || '/' || id || '.' || ext FROM xyz);

What is the best way to do this?

Thanks,

Lance