The short answer for a hairless traveller
Most Sphynx cats can travel well, and many cope better than more independent breeds because they are strongly people-oriented and often happiest close to their owner. The condition is temperature. Without a coat, a Sphynx feels drafts, air conditioning and winter car journeys far more sharply than a furred cat, and she also loses heat quickly when she is stressed and still. A journey that is merely cool for you can leave her hunched, shivering and miserable, while a hot, closed car can overheat her just as fast. Judge this breed as a good traveller only when warmth, shade and company are planned from the start.
Setting up a carrier a Sphynx will settle in
Line a secure, well-ventilated carrier with layered fleece or a soft blanket she has already slept on at home, so the base smells familiar and insulates her skin from a cold floor. A light, well-fitting sweater helps some Sphynx cats on winter journeys, but only if she already wears one happily at home — a cat fighting new clothing in a moving car is more stressed, not warmer. Position the carrier away from direct air vents, strap it so it cannot slide, and cover part of it with a light cloth if passing scenery and headlights seem to wind her up. Rub a little of her home bedding scent into the corners rather than spraying anything perfumed, which her sensitive skin and nose do not need.
Building up to a longer journey
Start with the carrier left open at home with bedding inside, so it becomes a sleeping spot rather than a signal that something is happening. Then try very short drives that end back at home with a meal, building duration gradually while she stays relaxed. Feed a light meal a few hours before a real journey rather than right before departure, keep water available on longer trips during safe stops, and keep your own manner unhurried — this breed reads its people closely. For an overnight stop, set up her litter tray, food and a warm hiding spot in one quiet room first and let her come out in her own time.
Skin, sun and stops along the way
Bare skin changes two travel risks. Direct sun through a car window can burn a Sphynx, so shade her side of the car and never park her in sun while you run an errand. Her skin also produces oils that fur would normally absorb, so on a multi-day trip she may need the gentle wipe-down she gets at home, and her bedding will soil faster than a furred cat's would. Pack spare bedding, her usual food and litter, and cleaning supplies for travel sickness, and plan stops where she stays inside the secured carrier rather than being carried loose in an unfamiliar place.
When a journey should wait
Postpone non-essential travel if she is unwell, recovering from a procedure, or so anxious in practice runs that she pants, drools heavily or soils the carrier repeatedly — talk to your veterinarian about whether the trip is wise and what might help her. A Sphynx who cannot stay warm, or who stops eating on arrival for more than a day, needs veterinary advice rather than another journey. Handled warmly and gradually, though, most settle surprisingly well beside their person. Anyone sharing the driving or the destination care can follow her exact routine through a KinsLe Care Pass, so her warmth and skin care stay consistent at every stop.