Hi Camille,
For the drying rack, could you use a bit of your clothes drying space? Maybe hanging on a clothes rack for a while.
For the funnel, you can also manage fine with a simple one that does not have a sieve in it. Then you would need a piece of cloth to help filter, or you could use a tea sieve. They sell those in tea and coffee shops, and the herb shops (such as Jacob Hooy in Amsterdam).
Urban Herbology Apprenticeship
Foraging, Growing and Using Herbs in Cities