The specific steps for a self-employed person to register two stores on AliExpress are as follows:

1. Log in to your AliExpress account, select "Seller Center", and enter the store management interface.

2. Click "New Site", fill in the store name, main business, registration country and other information according to your needs, and select the appropriate store language and time zone.

3. After confirming the store information, click "Create Site" and wait for AliExpress to review and complete the store opening.

4. In the newly created store, set information such as product display, price, shipping and payment methods, and start displaying products on the shelves.

It should be noted that when a self-employed person registers multiple stores on the AliExpress platform, it is necessary to ensure that there are differences in business content, product categories and customer segments between the stores to avoid the platform from punishing or blocking the registration behavior. At the same time, self-employed persons need to abide by the platform regulations and conduct formal and compliant operations, otherwise they may be blacklisted by the platform and face severe penalties.