I see you were chatting with the site assistant. I am Mike, the field technician assigned to help you. If you see a pop up for phone call service, it was not sent by me and I am not available by phone.
Any Chromecast with HDMI will connect right up to your tv no problem.
If you need more help or don't understand something use the REPLY option and you may also submit a 3 to 5 star rating at the top of this page now. Rating does not close your question or prevent future replies which are at no additional cost. The longer you wait to submit a rating the less chance I will get credit.