I've had the clear plastics cut and I'd like to flame polish the edges but I'm not sure what type of torch or equipment to use. If anyone has experience with flame polishing any advise would be appreciated. Thanks.

Sorry to jump in after they are already cut but if they were laser cut there wouldn't be any need for polishing, the holes could be laser cut too.
Whenever I have made plastics I just polish them the old fashioned way with a buff.