I recently started to remotely log into several servers quite often so I felt a need to maintain reliable connections to them and I considered a few choices:
As the beginner, I decided to stick to the easiest option - screen. It comes preinstalled on many server and many administrators install them alongside vim, emacs and git.
I decided to use this blog post for two purposes: to collect the most helpful links to learn screen; and to plan for deeper explorations in future (in this case, Mosh and Tmux).
Useful screen resources