One of those very small flask type of tin containers (usually black with red/white writing) and a tiny nozzle (sewing machine oil, I guess). Just a drop usually works if you find the right squeaky place.

If you can remove the hinge pin, use dry graphite and coat the pin. If you cannot, use spray dry graphite.

Oil is not recommended because it remains wet and will cause the hinge to collect dirt in the moving pieces.

Powdered graphite is the best lubricant but if you do not have graphite you can rub the pin with a bar of soap or paraffin wax.

You can also use a silicone spray. Press the button gently so you don't get overspray on the wall and/or use a piece of paper as a shield behind the hinge to catch any excess.

How about white lithium grease applied with a q-tip.