Fine art is transported in many ways.
Sometimes it is crated in wooden boxes. Other times well-cushioned by bubble-wrap and rigid styrofoam and[then put into heavy corrugated boxes.
Then shipped via normal transport services – I prefer Fedex, since there is less handling, but there are people who risk UPS. Art also travels by airfreight when the pieces are large, or when items are travelling overseas.
And sometimes it goes blanket-wrapped by small or large truck direct to the destination, which avoids all the both of undoing crates and boxes. (Quora, Michelle Gaugy, Art gallery owner, author, art consultant).