This will be best for you. I have it at home too and it works well.
Or try something like this but I haven't tried it.
But you can do many cardio exercies without equipment for example running on site and box with your hands or other cardio exercises to burn calories.
Slight burning of the lungs is normal when running to failure, but coughing after 4 hours not.
It is caused by running in low temperature and smoking too. Your lungs are not "healthy" or "clean" after 3 months after stopping smoking. That's why you still have mucus cough.
It will take about 9 months for the lungs to "clear".
For example: https://www....