Granted I don't know much about cars, but don't eletric cars still need winter tires, aren't there still moving parts that needs oil, etc?
You only need winter tires if you're in a location that experiences winter. Even then, for most of the USA good quality all-seasons* are more than sufficient. You still need to replace them though.
Yes, there's generally still 'lots' of oil in an electric vehicle. However, the reason engine oil needs to be replaced so often is heat and contamination. The heat breaks down the oil eventually, and the byproducts of combustion contaminate it, which is why you need a filter.
The oil in a properly operating EV never gets that hot though, and is thus treated more like gear oil - so it's like the oil in your transmission, gear boxes, etc... Which is generally changed out far less often.
Regular maintenance items an EV needs: Tires, wipers, wiper fluid, cabin air filter, lights, etc...
Regular maintenance that an EV doesn't need: Engine oil, coolant, brake pads*, air filter, spark plugs, etc...
Maintenance that's more expensive on an EV: Replacing the battery, but costs are coming down 'quickly'.
*EVs still have brake pads, but regenerative braking cuts their usage enough that a pad designed to last around a decade for a regular vehicle lasts the lifetime of an EV.
*Disclaimer: ~2" of snow and today I had to push a woman in a tiny car who had gotten stuck in the middle of the road because she was driving on half-worn 'all seasons' that were 90% summer tire.