How can I receive local tv stations without a cable connection.
You should be good to go if you get one of those Smart TV indoor antennas with a built-in amplifier to boost the signal as well as a converter box. The other option would be to get the Roku player if you only want to watch some specific shows.
Nowadays you can use a DVB receiver, which replaced NTSC terrestrial. It was made mandatory about a decade ago. Buy the thing, plug it into your TV and you are done.
a converter box and antenna,you can get them at walmart radio shack etc