Well we like to think we're TV-free but DS watches football with DH & he also very occassionally watches youtube videos. I started playing the videos in the background while I was working on the computer (and he didn't watch the videos, couldn't see them, just listen to them, which in my mind I thought would be 'better' than watching them) and now he is obsessed with youtube songs. Alllll day he asks to sit in my lap & watch me work & listen to youtube songs (and we can't even make it through a whole song, he wants a different song partway through). It drives me nuts & I want him to do other things (I wouldn't mind if he played while the music was on in the background, but he doesn't).
The only prevention for it is for me to not sit at the computer (kinda hard for multiple reasons)... so I would imagine it would be similar for the TV, if he doesn't have the opportunity & doesn't see mom & dad watching shows, maybe it won't be so compelling to him? But that's far from easy! Maybe you can put a strict limit on it? He can watch it once a day for X amount of time? He can watch it only while you're cooking dinner? And then try to keep him busy the rest of the day? Arts & crafts (playdough, coloring, gluing, stickers), music (singing, dancing, instruments, make your own instruments), playing outside when it's light out (plus nature hikes, I spy walks), story hours or toddler classes, 'cooking' (real or pretend), playdates, etc. Wow this sounds tiring just writing about it. That's what I really struggle with, I have all these great ideas but trying to keep up the momentum & continuing to provide that constant interaction is just sooo draining.
ETA: Where is the TV? Is it possible to have it in a room that you're not spending lots of time in during the day?
Co-sleeping is really wonderful when your child actually SLEEPS!!