I’m assuming you have some trees in your garden (or even large bushes... otherwise you probably wouldn’t have a spider/cobweb problem).
Step 1: What You Need
1. A handle- a long thin tube, such as a metal curtain rod (which is what I use) or narrow electrical conduit. You could also use a long, straight stick (e.g. bamboo, dowel) but that won’t be as easy.
2. Some sticks from your trees/bushes- with a main stem which fits into your handle and 2 or more small (but not too tiny) little twiggy bits on the end (see photo).
Look around your garden for a tree or bush that has those kind of branches and collect some that have dropped. You can go back to the same place next time you need some, or collect any extras that you find and keep them for next time.
Step 2: Trim the Twig Ends
Insert the thicker end into your handle (or if your handle isn’t hollow, stick it on with a couple of bits of duct tape, leaving an end free so it’s easy to take off when you’ve finished).
Step 3: Clean Up the Cobwebs
Step 4: Disposal - Back to the Garden
PLEASE NOTE: if you have sprayed your eaves with insect killer, don’t put the twigs in the garden for the birds. You can burn them in an open fire, add them to your compost or put them in the rubbish/green recycling.