No body ever lubes their steering gear and naturally us techs never do it we just steal others peoples money & pretend we do.
It is a lawn mower and thus was built cheaply.
So you have the bushes in the steering stem for starters, then the rack / fan gear on the end of the steering stem, plus the gear that does the turning.
Then there are the tie rod ends , king pin bushes , front cross member bushes and wheel bushes and of course the roll pin that holds the wheel to the steering stem.
If you haven't got a IPL, get one make sure you use the serial number cause they make changes mid season.
most models have rebuild kits for the bushes .