Yes it is fairly easy to grab a taxi at night. Be aware that route taxi prices are higher at night and only use red plate taxis as they are the only ones licensed and insured to carry passengers. Walking is easy most places also but be careful, especially on the west end.
You won't have to worry about finding fun. In many cases fun will aggressively pursue you. If you do decide to partake of some of the pleasures offered, be sure to wrap that thing. You don't want to bring home any unwanted "souvenirs" that may last a lifetime.
