Is that solid beeswax, Fuzz? You may have to cut the bucket off to release the wax. I have used a coping saw to cut buckets before. I think it is going to be difficult, but can you set that bucket down in a large tub full of very hot water? If you can melt the outer edge of the wax, you might be able to slide it out. It will probably be messy too. Beeswax has a melting point of 62-62 C. or 144 - 147 F. I would then try to work in smaller portions, remelt it, strain it again, and pour into your molds.
Some beekeepers wash their wax using hot water. When it cools, the wax will float to the top leaving the water and sludge in the bottom. To release the wax from the bucket, all you have to do is press down on one side of the wax.
What ever you choose to pour your clean wax into, make sure it is flexible. If it isn't flexible, make sure that you can pop it in the freezer so that it can shrink enough to release.