|1930's Price for Extractors|
One thing you can do is to borrow an extractor or rent one. Many bee clubs have them available for their members, all you have to do is sign up for a date and sometimes put down a small deposit that you will get back if the equipment is returned in good condition. There are also places where you can rent an extractor, or buy time in someone's honey house. You'll have to be the judge on this, because sometimes paying the rental fees aren't a good deal, so think wisely on this one. Some areas have commercial kitchens that you can rent by the hour, and some of those kitchens may have the equipment you need.
Manual extraction is another option, sometimes called the "destruct" method. Back in the old days, women would walk out to the beehive, open it up and take out one frame. Upon returning to the kitchen, she would open up the cappings with a fork, suspend it above a bucket, and let it drip out. It's a very slow method, but an effective one if you keep a frame hanging all the time.
If you have plastic foundation, another way to extract is to pull out all the honeycomb, placing it in cheesecloth suspended over a bucket (use food grade please, not paint buckets). Squeeze the comb and allow to drip through the cheesecloth into a strainer fitted over the bucket.
If you have bees-made wax, or fitted your frames with wax foundation, you could use the method above, or you could just cut out honeycomb sections, placing directly into a tupperware container with a lid. Some folks will now freeze it (in case there were any other little critters in there) and use upon having been frozen for 24-48 hours.