There are several AI chatbot software options available for creating a chatbot for your website, some popular options include:

Dialogflow: Dialogflow is a Google-owned platform that allows developers to create conversational interfaces for websites, mobile apps, and other platforms. It uses natural language processing (NLP) to understand user intent and provides a wide range of features, such as integration with other platforms and analytics.

Botpress: Botpress is an open-source platform that allows developers to create and manage chatbots for a variety of use cases, such as customer service, e-commerce, and lead generation. It has a user-friendly interface and provides a wide range of modules and integrations.

Tars: Tars is a chatbot building platform that allows developers to create chatbots without coding, it also has a drag-and-drop feature to make it easier to build the chatbot. It provides a wide range of features such as AI-based natural language processing (NLP), and analytics.

Chatbot.io: Chatbot.io is a chatbot-building platform that allows developers to create chatbots using a simple drag-and-drop interface. It provides a wide range of features such as natural language processing (NLP) and analytics.

These are just a few examples, there are many other options available, it's recommended to do thorough research and compare the features, pricing and support of the different platforms before deciding on which one to use for your website.