With the knowledge that I am gonna get FLAMMED by a lot of folks, I would suggest you use LH
I have a dog that travels with me at least 3 times a year in the aircraft hold. My dog is in an IATA crate number 3 which is restricted to the aircraft type/Hold door demensions.
I know it is stressful, but since I do not need him as a "service" animal, I have to opt for the hold.
Yeah, yeah, yeah, I know all about the horror stories, but being a ramp agent and ops agent for more than 17 years I know what to expect. I make sure that the Dog + Crate are loaded and well sucured in the hold before I take my seat. The aircrew are very understanding of this, and if it is not the case, I tell them I will not travel without the Dog being with me.
I always make a point to let the operating crew know 100% that my dog is in the hold and to take the necessary precautions....better safe than sorry.
has wonderful transit areas for animals in FRA
Of course if I could take my 30KG chocolate lab in the cabin, I would never put him in the hold.
. GOOD luck to you and your move especially your pet!!