I'm no expert but I've just been through this myself, so it means I haven't forgotten it yet.

I assume that when the engine is warm and the choke is full open, it starts and idles OK- idle speed is set, idle mixture screws are set.

The video below includes a few more details like setting the initial choke position and working with the fast idle screw. I'd say check it out before you replace anything because it's possible you just have the choke set way too lean because you're trying to hold the choke butterfly open a little when it's cold using the choke spring itself.

Rich/lean tuning adjustments to the choke housing then affect how long it takes the butterfly to open, but it always starts closed when cold.

https://www.holley.com/blog/post/how_to_adjust_the_choke_and_fast_idle_on_holley_carburetors/