When I relocated to Nigeria, Horizon Estate was the first place I stayed. As a newbie, I found it to have appropriate security, with good shared facilities within the estate (i.e. pool, games court). It is a very short distance away from the hustle and bustle of Lekki Phase 1, which you could easily get to with ~1,000naira bolt ride. Living on this estate was my safe space, I hope it becomes yours too.
This place was 24/7 light and IPNX wifi internet installed.
Peaceful and secure, and the circular walks within the estate is a nice way to exercise.
Another positive is that the Estate is a 10-15mins walk away from the beach