LuLu is a billion dollar hypermarket chain. I think it would be a good idea to rename this project in the beginning if you don't want to get into any copyright issues.
Second like others are saying there is no conflict here because they are in completely different sectors
Think about how many cities have "Great Wall" Chinese restaurants.
Most people only know trademarks at a national level. In the United States, at least, each state can grant its own trademarks. I've done it in Illinois ($50/10 years), and Texas ($10/10 years).
[1] https://en.wikipedia.org/wiki/Apple_Corps_v_Apple_Computer
[2] https://en.wikipedia.org/wiki/Nissan_Motors_vs._Nissan_Compu...