The temperament doing the travelling
A Russian Blue bonds hard and narrows her world deliberately: one or two chosen people, a familiar house, a routine she can predict. Strangers are assessed from a distance, novelty is treated with suspicion, and a disrupted day can put her off her food. None of this makes travel impossible — it makes travel a project. The cats who struggle most are the ones whose first journey is also their first time in a carrier, in a car, and in a strange house all on the same day. Spread those firsts out over weeks and the same cat usually rides quietly, if not happily.
The carrier is trained weeks before the journey
Start by making the carrier boring. Leave it in her favourite room with the door fixed open, her blanket inside, and treats appearing in it regularly, until walking in and settling down is something she does by choice. Then close the door for a minute, then five, then lift and carry her to another room. Only once the carrier itself is neutral do you add the car: sit in it stationary with the engine off, then idling, then a trip around the block that ends back home with dinner. Each step should bore her slightly before you move to the next. Line the carrier for the real journey with bedding she has already slept on — the smell of her own sleeping spot is the single most calming thing you can pack.
Travel day, by car, train or plane
Feed her lightly several hours before departure so she travels on a mostly empty stomach, and offer water up to leaving time. In a car, secure the carrier so it cannot slide, cover it with a light cloth to cut the visual chaos down, and keep the cabin cool and quiet — a Russian Blue will pick up on loud music and raised voices. On trains, keep the carrier at your feet and resist the urge to open it for reassurance; being peeked at by strangers bothers this breed more than darkness does. For flights she should travel in the cabin with you wherever the airline allows it, in a carrier that fits their rules, booked well ahead since cabin pet places are limited. However you travel, she stays inside the carrier until you are in a closed room at the other end.
The first hours at the other end
Do not release her into a whole strange house. Set up one room with her litter tray, water, a scratching surface and somewhere to hide, open the carrier door, and let her emerge in her own time — for a Russian Blue that may be hours, and that is fine. Keep her own bedding, her usual food and her usual litter for the first days; change one variable at a time. Most settle within a day or two once feeding and sleeping fall back into a pattern, and a cat who has travelled calmly once will usually find the return trip easier, because it ends at home.
When staying home is the kinder answer
Some journeys are long, chaotic or involve several changes of place, and for a cat this attached to routine the honest answer may be that she is happier not going. A trusted sitter visiting her own home keeps her world intact — her territory, her smells, her schedule. If that is the plan, KinsLe's Care Pass hands that sitter her feeding times, her hiding spots, her vet details and the way she likes things done, so the routine she depends on survives your absence intact.