@Dominions Son
an easy cover story is carpet and or Appliance delivery/install
Wrapping them up in a carpet is old school. My first thought was - condo, a refrigerator box (with or without the fridge in it) on a pallet jack or two wheel dolly works nicely. Depending upon your level of squeamishness and how quickly you have to get rid of the body, put it into the bathtub, let it bleed out there, then simply utilize a saw. You take the head and legs off, the whole body will fit into a rather normal sized suitcase on wheels. Make sure you put appropriate cleansers down the drain to deal with blood. (Or just simply apply enough pressure to dislocate their joints, which is tougher than it sounds, and fold them up that way, using strapping tape so things don't flop around too much.)
Unconscious person that you don't actually want to kill (at least not at that location), a wheelchair is an obvious solution. Have an O2 tank and some tubing running around the head, a wig to disguise the hair, and just let the head flop down. Hands in the lap under a shawl or blanket, and granny or grandpa is asleep.
The other thing is, if it's an outside group, they can always be a 'private' ambulance or 'private home health care' service. (Sorry, such and such is rather intoxicated, or OD'd on something, fell, and since we don't want publicity, we're using a private service to take them to private medical care. Thank you for your discretion.)