if you have a wound you can't clean and bandage yourself, you should probably seek medical attention. antibiotic cream is for anything that doesn't reach that level.
If you have a wound, even one that you can clean an bandage yourself, why would you put cream in it? You clean it and you put a sterile dressing on it.
Or use an antiseptic cream which does not have the downside of antibiotic resistance.
Antibiotics are not necessary for wounds that are not infected. Regular hygiene is sufficient.