No image attached to website mention only grey box


Hello, Jimmy and I are new to twitter and enjoying it very much. however I am having trouble figuring out how to attach an image whenever we mention our website url.

Here is a url link that I created a screenshot as an example

Please is there any directions on how to put an image in website mentions? When I type in website into my tweet the box automatically shows up and want to make sure not tweeting grey box in website card/box.

thanks so much for your help! Also not sure if i chose right topic if this is media questions or card questions. my apologies.

Tina and Jimmy