COVID update: Health First's Cape Canaveral Hospital has updated their hours and services. 40 reviews of Health First's Cape Canaveral Hospital "Cape Canaveral is the hospital of choice for people who live in the area - we dont ever go to Wuesthoff. I had my son at CCH "he was launched at Cape Canaveral Hospital" and when I moved here 3 weeks before he was due - people told me to go there..