I am in the process of getting my lawn ready for winter and spring.

I plan to power rake the lawn to remove thatch,
Aerate with a rented machine
spread seed
and apply 1/4" or so of top soil

My question is which fertilizer is appropriate?

Winterizer or starter fertilizer for the seed?
The levels of nutrients vary greatly and I don't want to plant a bunch
of seed and use winterizer only have the seed suffer through a harsh
winter.

I live in MO, so we get into the single digits at times during winter.

Any advice would be appreicated