Which bus will allow me to get there before 7am everyday, or 11pm everyday?

No more idea. Better to check the online.

Not sure about 🚌 services but lyft is much cheaper than 🚕 are uber

It depends on where you are staying from. Here is a link to the RTA Airport Express info https://www.norta.com/Maps-Schedules/System-Map/Line.aspx?ID=202

There is a airport express route from canal and basin I think

Lyft is cheaper then Uber not sure about the bus service or routes.

Honestly, I don't think there is a bus service from New Orleans.