Ok, firstly you need to hit rock bottom in order to do this. Sounds like you're there. You have my sympathies - I was there not long ago when my DS was 17 months, so a bit older.
We did 1 min, 2, 3, 5, 7, 9. Never got past 9 minutes. After the first night, we didn't bother going in after 1 minute and started at 2, purely because DS was so furious it was futile. Furious, not upset. We also bought him into our room to calm him and then took him back to his. We just found it a bit quicker to calm him if he couldn't see the cot.
It is HARD, but so, so, so worth it. Bedtimes are a joy now! He knows the cues, is cute and cuddly, and more importantly, he knows we're in charge.
Our bedtime routine is bath, story and bottle on our bed, then into his room and bed. Even if he doesn't go straight to sleep, he happily lies there singing along to his little musical frog thing. It honestly transformed our lives.
You can do this, and you will all be happier for it. Lots of luck!