Does anyone have suggestions on some good ones?
That's not an easy question to answer as it really depends upon your tastes, and what your PC can handle. Currently, not counting SKSE, I run with about 30 different mods.
Let's see . . . in my own list there is a mod which adds a new follower (Vilja is great), allows for more than one follower, some mods which add new clothing, weapons, and armor sets, while others affect the climate and weather, and still others are purely graphical - modifying textures, character models, etc.
I'm not a huge fan of using the Steam Workshop for my mods because I've found that many of the mods posted there were not posted by the actual mod's author and therefore create a world of problems if you're not careful. Therefore I would point you to Skyrim Nexus. Here's their list of the most "endorsed" mods:
http://www.nexusmods.com/skyrim/mods/se ... ge=1&pUp=1.
I also like their mod manager and would highly recommend it.
http://www.nexusmods.com/skyrim/mods/modmanager/?