mail function returns a boolean (true/false), so you can do like this
if (mail('myemail.co.uk', $email, $message)) {
echo "Thank you. We will be in touch soon.";
} else {
echo "Something went wrong, the email was not sent!";
}
Also, the structure of mail (the parameters) are to-address, subject, message. Which means that your current subject is the email-address, I'm not sure if this is what you intended?