If just a "faux bucket" for looks, that should be pretty straight forward joinery, and there are gobs of info on Coopering in general.
If you really want to get into this, understand that Coopering is an art onto it self, but the basics are a starting point for anyone in historic replication work... I will check back in to help where I can, as it is both functional and rewarding work, for not only just buckets but hot-tubes, sinks and anything to hold water made out of wood. Not all are round either...Food for thought!
Pro70z28's video post is a wealth of good info!!! Its worth the time...