First off, you are running OS 10.7.5, which is Lion.
Secondly, there are 6 more recent versions you could install:
Mountain Lion - OS 10.8.x
Mavericks - OS 10.9.x
Yosemite - OS 10.10.x
El Capitan - OS 10.11
Sierra - OS 10.12
High Sierra - OS 10.13
Third, you need to be concerned about any third party software you are using, and most likely, will need either to upgrade some/most/all of them to be compatible with the OS you want to move to, or possibly some of them might not work at all.
Fourth, for High Sierra, Apple introduced the APFS file system, so that could be a challenge.
I would advise not skipping "too many" of the various versions. Maybe skip 2 of them and upgrade to Yosemite. But upgrading might not be as "safe" or "OK" as doing a clean, fresh installation of the new OS, and then migrating/copying needed files, folders, settings etc. from a backup. And the easiest way to do that is to use SuperDuper! or Carbon Copy Cloner to make a bootable backup. (You are making backups to an external device, right?)
Finally, when you begin this process, you might want to do as much disk cleanup/maintenance as possible. You can do a good amount of disk cleanup on your own, and there are some excellent programs (both free and commercial) which can help you with those tasks.