When we went shopping in Morrisons in Gibraltar a few months ago, the Mrs purchased a few plants and I thought. ..... Here we go, Border Police are going to stop the car!
Well, they did stop the car, I opened the boot, he moved things around, including the plants and said "Tobac?" We don't smoke so I shrugged my shoulders and said "Non". Then he just walked away, saying "ok, ok".
Last month however the Mrs decided to buy a Lemon Tree and an Orange Tree from Morrisons, as they were only £11.99 each!! This time I thought, "Hang on a mo, they are definitely not going to let us through with these" ... I mean I couldn't see out of the rear view mirror cause it looked like there was a forest growing behind the front seats!!!
But again, no problems ... and don't forget we are going across border!
So if that is ok, I guess a few house plants would be ok. Ask the Moving Company you are using, as they should know!