Can't speak for your TV, but mine takes all of 16 seconds to boot up into the HDMI input from the moment I plug it in, and there's a setting to change the default input when it powers on. I use two HDMI ports so I have it default to the last input, but I have the option to tell it to default to the home screen, a particular HDMI port, the AV ports, or antenna

Not a fan of the remote though. I don't have any of these streaming services, and more importantly I'll be dead and gone before I let this screen connect to the Internet