Three times larger in what way? If you are talking about the diameter, then I don't think a planet that large would be even solid. At the very least, you would still have to contend with the pressure of the hypothetical atmosphere (it will most certainly be larger than on a smaller planet; and quite possibly there would probably be a planet-wide ocean of some sort), which would probably crush any genetically modified lungs.
Our bodies are optimized specifically for Earth gravity. On a planet with less gravity, your muscles would probably have long term problems with atrophy, and your immune system would be weaker. I think it would be a wiser idea to find planets with similar gravity, or even ones with slightly higher gravity than our own.