Peanut butter/plaster of paris- Rodents 1 Me 0
Snap traps- Rodents 1 Me 0
Sticky traps...caught just 1....we'll call that a tie.
Bucket traps Rodents 1 Me 0....though I did feel like MacGuyver while I was making them.
Poison.....WIN!
The poison is disappearing or being munched on, and last night was the first night where there was no digging out from under the crawlspace. I'm definitely hopeful that I'm winning the battle.
The irony is the neighbor who was worried the chickens would attract the rats (we're in the city, and because of this didn't get a permit and are going rogue style) also has a virtual rodent habitat in their backyard, complete with rotting wood piles, and a perimeter of weeds all around plus an old rotting structure attached to the house, with some parts mowed where they managed to keep it under control. Why are people such idiots? 
I'm not saying they WON'T attract rodents, but I'm being as proactive as possible, and they're giving them as much opportunity to set up a whole village of rat condos.