Certificates differ in how much the authority checked before issuing. The encryption is identical in all three - what varies is the verification, and what browsers do with it.
DV - domain validated
Proof that you control the domain. Issued in seconds, automatically, free from Let's Encrypt. This is what the overwhelming majority of sites use, including large ones.
OV - organisation validated
The authority also checks that the company exists, using registry records and sometimes a phone call. Takes days and costs money. The organisation name is inside the certificate, where nobody looks.
EV - extended validation
A heavier legal check, more documents, more days, more money. It used to produce a green bar with the company name in it, which was the whole selling point.
So which one
- Almost every site - DV, automated, renewed by a timer. Nothing else changes for a visitor.
- Regulated sectors - OV or EV where a compliance requirement names it. That is a paperwork reason, not a technical one.
What actually affects trust
The domain name, the content, a working contact page, and the site not being broken. None of these is a certificate property.
openssl s_client -connect yourdomain.com:443 < /dev/null 2>/dev/null \
| openssl x509 -noout -subject
# CN and O are all a visitor could see, and they will not look