How to paste in a new line with vim?

Shortly after :help p it says:

:[line]pu[t] [x]    Put the text [from register x] after [line] (default
                    current line).  This always works |linewise|, thus
                    this command can be used to put a yanked block as
                    new lines.

:[line]pu[t]! [x]   Put the text [from register x] before [line]
                    (default current line).

Unfortunately it’s not shorter than your current solution unless you combined it with some keyboard map as suggested in a different answer. For instance, you can map it to any key (even p):

:nmap p :pu<CR>