Digital antennas are a myth,.. better yet, a con...
My old vhf antenna works perfectly...
You will need an analog to digital converter box for each tv that isn't digital ready.
Since you've had cable,... you're already wired... just disconnect their feed, and connect your antenna at the splitter.
PS.. over the air tv is much better than the old days... I get about 15 channels... 3 PBS... 3 classic films, several oldies tv shows, plus all the regular network garbage. Much better than standard cable.
Although I mostly watch internet tv, anymore... (I'm not big on crime dramas, or reality or talent shows)...
...that seems to be 99% of network telly...