I would recommend to play Skyrim on PC though. Even if your computer is old, you should be able to get a much better experience from it than the Switch version.
I mean, I played it on the Xbox 360, and it worked like a charm. On an ancient three-core console with 256 MiB of RAM.
Then I wanted to replay it on the Switch, and was disappointed. There are a lot of physics glitches on the Switch, but what is worse is that the NPC pathfinding takes a lot longer on the Switch, such that NPCs move in nonsensical directions during combat, as they start to follow paths that they would have needed several seconds earlier. Instead of moving near the player to attack, they move near the position where the player had been some time ago. This is particularly bad on the overworld, but also noticeable in dungeons.