Dreams involving being chased often reflect feelings of anxiety or stress in waking life. In your case, the large red bug can symbolize something that feels threatening or invasive in your life. The unique combination of a praying mantis and a mole cricket might represent a blend of qualities: the praying mantis is often associated with patience and contemplation, while the mole cricket is linked to digging deep or uncovering hidden aspects of oneself.

Renovating a home in a dream typically symbolizes personal growth and transformation. You may be in the process of making significant changes in your life, but the presence of the bug suggests that there could be something unsettling or unresolved that is hindering your progress. The act of the bug trying to bite you and lay eggs might represent a fear of being overwhelmed by new responsibilities or issues that you feel are taking over your personal space or peace of mind.

This dream could be prompting you to reflect on what is causing you fear or anxiety in your life right now. Consider what aspects of your current situation might feel out of control or invasive. Identifying and addressing these feelings could lead to a more peaceful state of mind and help you move forward with your renovations—both literally and metaphorically.