How can I receive replies from customers to my text messages

You can either have your Textlocal account setup so that the Sender ID is your name /company name, and clients cannot respond; or your mobile number to which they can reply.

To change or amend this in your Textlocal dashboard, please take a look at their help docs here: https://www.textlocal.com/support/knowledge-base/sms-sender-name/