The bucket will do fine in this weather....basically you want anaerobic decay to rot out everything but the fibres. It's going to stink like sh1t if you're doing it right though
Keep the water topped up, but don't replace it every day, you want the buggits to get to work.
Troy did a tutorial years ago on this and I'm sure there have been others.
I reckon two weeks is pretty good going, it took mine five to turn the glue holding the layers together into slime.
Best of luck with it
cheers,
Toddy
p.s.
This site has some very, very good information and the lime processes just like the bass.
http://homepage.mac.com/laddie/basswood_twining.html