There are many streaming services available now, including a new one from DirecTV (no dish or commitment needed!). You would still need an antenna for locals though if you watch them, so keep that in mind. You do not need a PS3/PS4 to use Vue, just a Playstation account which is free.
Each service has pro's and con's, so research carefully and visit their Facebook pages to see what issues others may have. I gave Sling a shot and while I didn't have all of the issues that others reported having, it was far from pain-free. Sometimes trying to save money isn't worth the hassle.
I would like to apologize to anyone I have not yet offended. Please be patient and I will get to you shortly.