It is recommended to get a cat carrier to bring your cat in. This way it will be secure and safe to bring your cat in and out of the office.
Yes, there are many vets who can do home visits.Check with a few vets to find one who can offer home visits.
The usual recommendation is twice yearly for check ups and vaccinations.
Most vets will offer a F3 or F4 vaccination. The minimum requirement for a cattery stay is usually an F3 vaccine.