The first issue can be mitigated using Managed DNS services, such as No-IP (noip.com) and Dyn (dyn.com), which provide a dynamic DNS service. These services will provide you with a hostname (for example, username.no-ip.info) and update the hostname's DNS A record to point to your machine's IP address (more on DNS records later). This means any requests destined for that hostname will arrive at your associated device. To make this work, you'd also have to install a client on your device, which frequently checks its own IP, and update the Managed DNS service whenever it changes.
The second issue can be mitigated by using port redirect, which is a service that most Managed DNS services also provide. First, just as before, you must ...
