Using LED bulbs in this type of situation has pros and cons.
These round globe bulbs are considered specialty bulbs and the normal incandescent version uses a filament designed for longer life. This also means lower color temperature and very orangish light. A bathroom mirror is typically not where you want dull orangish light.
There are halogen options. Remember, lower wattage incandescent bulbs typically still have a slightly lower color temperature than higher wattage bulbs. And it is still considered a specialty bulb, and the filament in the inside halogen capsule will likely be rated "double life". So even though it may be "halogen", the color temperature will only be about the same as a regular 100W incandescent light bulb.
You may also be able to find halogen globe bulbs with neodymium glass, while these may be expensive, it would allow you to get good quality light close to 3000K.
Another problem with halogen bulbs, which I have noticed, is they tend to burn out faster when the filament is angled horizontally, which is the case over a bathroom mirror (filaments for halogen bulbs are designed to operate at a higher temperature, the filament gets very soft at this high temperature and can easily start bending under its own weight, until it eventually snaps).
The problem with LED bulbs is that, even when there is a frosted plastic diffusor globe, the light still tends to be rather directional. Over a bathroom mirror this can lead to glare, unless the LED is the lowest wattage possible. Also these LED bulbs do not have the best CRI, and skin tones can look a little greyish yellow. Some people describe this by saying their skin color looks "sickly and dead". Probably not a good thing for mirror lighting.
Another option, you could use a combination of different types of bulbs over your mirror. If you do not mind the color tint of light from each bulb being slightly different, the combined light from the different bulbs might give you better color rendering, if that matters.