I suggest that you keep the freedom of choice and use the wild card character * in your search pattern. If you add sudo, you will be allowed to search also directories where the normal user has no access. So I suggest the following two aliases, localfind to search the current directory and its subdirectories, and rootfind searching the whole computer.
Enter these (or something similar) into your .bashrc file at the alias commands that are already there!
alias localfind='sudo find \. -name'
alias rootfind='sudo find / -name'
So if you don't want to wait for rootfind, it can be a good idea to change directory to a relevant directory and run localfind.
Edit: another example shows the advantage with flexible usage of *
Compare the output of these commands: