First, check your prescription with an ophthalmologist (or optometrist, depending on your country). You may benefit from a cycloplegic refraction, to ensure that you don't have an undercorrected hyperopia.
Then, always wear your glasses when working.
Your floaters don't have a direct relationship with your astigmatism and you may need a fundus examination, which will be done at the same time as your cycloplegic refraction (pupils will be dilated using eye drops).
Reducing the screen light and using a blue filter may also help. But good prescription is key.