There are a couple of ways that you can put trust badges on your home and checkout pages on Shopify.
One way is to use an app from the Shopify App Store. There are a few different options available, but one that we recommend is the Trust Badges app. This app allows you to easily add trust badges to your pages, and also gives you a lot of customization options so that you can make the badges match your store's style.
Another way to add trust badges to your store is to use a Shopify theme that includes them. Some themes will have trust badges built in, so you can just enable them and they'll appear on your pages.
If you're using a theme that doesn't have trust badges included, you can always add them yourself by editing your theme code. This requires a bit more technical knowledge, but if you're comfortable editing code it's not too difficult to do.
You can find more information and instructions for both of these methods in this Shopify support article: