It's been over a decade after watching the TV show, but I feel the movies aren't that diffrent to the tv show in terms of what is shown. More like the changes are much more in what is not shown. (One thing is pretty major, but the Trilogy itself doesn't really do anything with it and it pretty much kills the purpose of a certain other character's existance.)
The Trilogy's most nice part imo is, that it tries to stay serious for the most part. So the sober scenes stay and most of the lidicrous/drunk/comedy/randomness gets kicked out. Notably that makes 2/3 of the R2 part feel like a piece of cheese with a lot of holes, but it was kind of nice, to remind me, what that there was, to draw me back to the screen every week for the newest R2 even if it pulled one deus ex machina and weird twist after another. So felt in a way like a compilation of best ofs to me.