Try Googling "compost tea" and "manure tea".
Some people get away without even aerating their "teapot", but an airstone would be a great way to encourage the aerobic microbes.
I think it is smart to use a compost heap as the source of the inoculum. Plus, perhaps, a little soil taken from 6" down in your very best raised bed.
Some people add a little molasses as a sugar source.