Hi and welcome to Just Answer. I'm sorry to hear about your TV. I will try my best to give you a precise and accurate answer.
The screen is attached by 4 screws at the bottom of the screen. See the attached diagram.
Once you get the screen off, you can clean the main mirror and the three color guns. Use a soft cotton cloth and Windex.
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You can use the same soft cloth and Windex. The screen is actually two screens that are sandwiched together in a frame.
If the spider is in between the two screens, you will have to dismantle it as shown in the attached diagram.