Implementing IPv6 is necessary to move away from legacy methods and address exhaustion, and it offers advantages such as global routing, no need for NAT or port forwarding, and improved network design. The primary methods of transition are Dual-Stack, SIIT, NAT64, and 464XLAT, with Dual-Stack being the easiest but most difficult to scale, and 464XLAT being a solution with no user-visible downsides.