If the laundry basket doesn't work, I recommend the blanket. But be sure you use a very thick one and bundle her in it really good.
I have a big cat who will shred my body before she will go into a carrier. Covering her completely with a thick blanket helps.
I use an enormous carrier (40lb dog size) to hold the entire blanket and the cat at the same time. That way even if her arms are out inside the blanket, my hubby and I can still shove it all in there.
If you have trouble getting her into a smaller carrier and don't want to buy/borrow a larger one, you can try putting the blankets inside the two laundry baskets. Just be sure they are really clamped tight.
I had another (foster) kitty who would have escaped from the baskets; he equated the carrier with death. It was a horrible trauma just getting him from my house to his new forever home.
On a side note, I completely second the previous poster who said you will want to keep your kitty inside at first in the new home, until she gets her bearings. Otherwise she will definitely not come back, especially after the carrier trauma. Put her in a very small room; she will feel more secure there. If and when you let her outside, go out there with her and sit and watch her. If she starts to leave the property, call her. Do this every time she gets to the edge of the property. You don't know who your new neighbors are yet or what sort of pets they have.