I’ve not had problems with delivery but sending your own mail is generally considered to be No Good, and SES is $0.10 per 1k messages, so why not.
You need to add a few DNS entries so SES can verify your domain, then
grab your SMTP credentials from the dashboard and put them in
ses username:password. Then in
table ses_credentials file:/etc/mail/ses_credentials action relay_ses relay host smtp+tls://email@example.com auth <ses_credentials>
and you’re done. Send a test mail to firstname.lastname@example.org to check it works.