re: Is there a way to replace the HDMI ports on a TV?

Depending on situation/model but there are tv repair people that can do that. Not sure depending on model and how it was built if you can do it yourself.

But a last resort could be a HDMI switcher. Basically like a cable splitter but for HDMI. Many of them detect which device is on and automatically passes that signal. They have remotes etc. Maybe a stop gap measure till you figure out a fix.