Here is a photo of them loaded into the car.
Other than a little yowling from them in the car ride to the vet, it went smoothly and quietly, and we arrived there 1 hour late at 11am. Thankfully everyone at the office was understanding and went ahead with medical treatment as planned. After the puppies were finished, their new collars were put on before they went into their separate crates. Nevada was done first and Emily picked her up at 2pm. I will send an update on Nevada as soon as I hear how she's doing. We picked up Nina at 3pm and brought her home. We set her crate on the back patio which had we fenced in, and it wasn't long before I heard her whining to be let out. I opened her crate door and she walked right out wagging her tail at me, cautious only for a few seconds. She is sore and walking stiffly from her surgery, but otherwise doing great. I've been petting her and hanging out, she's even been pawing at the back door! I'm not sure she's ready to come in yet, but she seems to want to be with me or the other dogs which is a good sign!
Here are photos of Nina after arriving back home, getting adjusted to her new surroundings.