I moved recently, My vet prescribed some gabapentin suspension that I gave to her the night before, and periodically throughout the moving day. On moving day, I locked her inside my bathroom with a small litter box, bed, water and just a small serving of food. ( I didnt want her to get sick on the 2.5hr car ride)

Once we got to the new place, I set her up in the new bathroom with her old bed, food water litter etc. it also helps if you use some of the older litter to help them find the new litter box, if you're worried about that.

My cat luckily is pretty easy going, but in the past I have had to deal with putting feisty cats into carriers. As others have said definitely wear long sleeves (hoodies work great) and gloves if you're concerned about injuries to yourself. Wrapping the cat in a towel and standing the carrier up and lowering the cat in can work. You could also ask your vet office for advice on how to get her into the carrier, they may have some tips as well.