How to properly go about upgrading npm packages for older Laravel installation?

I will admit that I probably should have done this way earlier, but here we go. I don't really know where to go from here and need your help. Thanks!

Package                        Current   Wanted  Latest  Location
@babel/runtime-corejs2           7.6.2   7.12.5  7.12.5  global
@fortawesome/fontawesome-free   5.14.0   5.15.2  5.15.2  global
@tinymce/tinymce-vue             3.2.2    3.2.8   4.0.0  global
axios                           0.19.0   0.19.2  0.21.1  global
bulma                            0.8.0    0.8.2   0.9.1  global
cross-env                        3.2.4    3.2.4   7.0.3  global
laravel-echo                     1.6.0   1.10.0  1.10.0  global
moment                          2.24.0   2.29.1  2.29.1  global
node                           12.10.0  12.20.0  15.4.0  global
pusher-js                        4.4.0    4.4.0   7.0.2  global
tinymce                          5.4.2    5.6.2   5.6.2  global
vee-validate                    2.2.15   2.2.15   3.4.5  global
vue                             2.6.10   2.6.12  2.6.12  global
vue-infinite-loading             2.4.4    2.4.5   2.4.5  global
vue-recaptcha                    1.2.0    1.3.0   1.3.0  global
vue-template-compiler           2.6.10   2.6.12  2.6.12  global
vuex                             3.1.1    3.6.0   3.6.0  global
webpack                         3.12.0   3.12.0  5.14.0  global
webpack-cli                      3.3.9   3.3.12   4.3.1  global