So, how do I compost without worms and without a yard? Is this even possible?
Well yes, yes it is. And as a benefit, I have a window ledge and that appears to be just enough space to work this out. So let's learn a bit about composting!
First off, you need to build or buy your "box". It doesn't need to be a box per se, but a suitable container that can close effectively and has ventilation. Any container you're not using would work just fine (bonus if it's clear - it lets the sunlight in even if it is closed), as long as there are holes in it and it will be convenient for you to "turn" it (basically, stirring it). For a smaller home bin a small shovel (think the kind you might use at the beach to make sandcastles) would be great, very small compost bins would do fine with just shaking the bin/box with the lid closed.
For what goes into the compost bin: there needs to be a balanced carbon to nitrogen ratio, which means you'll need to layer "brown" materials (like straw, shredded paper, wood shavings and/or dry weeds, etc) with your "green" materials (vegetable scraps, green weeds, etc.) and garden soil or finished compost. The pile needs to be kept damp and under the sun! If it gets stinky, stir it up! It will help aerate the pile with oxygen. Adding lime is a good trick to keep smells (and insects!) at bay.
Voila! Be patient. In time you'll have a rich soil that will be perfect for your herb seedlings!
Good luck and happy composting!
photo credits: Ellen Levy Finch, Pfctdayelise