Hey  You can install the app called checkout Rules : https://apps.shopify.com/checkout-ninja . They have option to hide express checkout. You can use chat section in app they will guide you.

Hey You can use checkout extensions. 

Hey Check the  Expected delivery dates options are enabled. For reference  

Hey Yes this is possible to do. You can use the app : https://apps.shopify.com/checkout-ninja from shopify app store. In the app you can set a rule,  In condition : You can select "Customer not Logged in". In Action : You can hide the payment method ...

I made a similar solution for a client. They need to hide COD when gift card is applied. I used the app : https://apps.shopify.com/checkout-ninja . The customisation only work with Shopify Plus customers. Here is the rule look like, 

You can use the Checkout Ninja app. In the app you can hide payment method according to specific countries for Eg :  you need to hide Paypal for Danish market (Denmark). The rule looks like this,

I made a similar solution for a client when gift card is applied , hide COD. I used the App Called Checkout Rules , build with Payment Customisation extension but the customer should be Shopify PlusHere is how the Rule look like,