Thank you for sharing your dream with us. Please take everything that I share back to the Holy Spirit as He Alone gives the accurate interpretation.
This dream appears to begin with issues happening in your life/surroundings and then leads to future happenings in the world. The following excerpt “Then it was slithery animals (alligators and snakes) that came up out of the mud and lunged at me and sometimes children playing in the yard” refers to attacks that you have received from prominent people in the form of lies and deception.
I think the bear, lion, and tiger represent countries in the context of your dream. Substitute these animals for countries (as in a puzzle) and it might reveal what happened and is to come.