Straining and filtering out the materials that you are infusing into a liquor is an important but laborious process. Here is how I do it:
Step 1:
Strain the mixture into a pitcher through a fine mesh strainer.
This will remove all of the larger pieces from the infusion.
Step 2:
Pour the mixture through a permanent coffee filter, such as
this one.
I usually place the filter into the strainer over a pitcher. You will probably have to rinse the filter periodocally. When the filter clogs (no more liquid is going through) I remove the filter, pour the liquid back into the container of un-filtered mixture, and rinse the filter in the sink.
Step 3:
Pour the mixture through disposable
coffee filters.
I use flat-bottom coffee filters and place them in the strainer over a pitcher. They will clog quickly and have to be replaced. You can squeeze out the used filters into a bowl, and then run that through more filters at the end.
The resulting infusion should be free of sediment. If needed, filter it again.