How to upgrade vim only in my own directory？

The version of the server in our laboratory is lower. I want to upgrade my vim, but I don’t want to affect other people’s use. My Linux server version is：Linux version 4.15.0-122-generic (buildd@lcy01-amd64-010) (gcc version 5.4.0 20160609 (Ubuntu 5.4.0-6ubuntu1~16.04.12)) #124~16.04.1-Ubuntu SMP.

The answers I got online are all directly upgraded under root authority. What I think maybe is

./configure
make
sudo make install

Make install must be used with root privileges, which is sudo make install. I have root privileges, but I don’t want to influence other people. If I use sudo make install, will the vim on the server be overwritten with my upgraded version?

When I use type vi, it shows that vi has been hashed (/usr/bin/vi). How do I make my vi point to the new vim?