Awww nice to see you around again darling. I'm sure this new kitten will help you to heal many wounds, but Newt was a wonderful cat, not ment to be forgotten.
I've gone to several vets easily 10 through out my ownership of animals. I now work at one myself, it's called Banfield, they are the Pet Hospitals which are inside of some PetSmarts.
Some animals can have reactions to any vaccination, and there is sometimes a slightly higher risk of that when several are given at one time. Typically, with very young kittens (around 8 weeks of age) we like to only give the Distemper Vac, and run a fecal, possibly giving a dewormer at that time. And then in 2 weeks have the patient come back for things like FIV testing/vac. Heart Worm Test, and the other round of Disptemper. There are other optional ones but I personally consider those to be the very basic. And around 4 months of age we like to then give them their rabies (typically before their neuter/spay.)
When you get your cats vaccinations, and what you get, is souly up to you, remember that. If a vet imposes upon you getting everything all done at once on the same visit and you feel uncomfortable, then find another vet, there is nothing wrong with trying to find a better vet, infact it is what we all should do.
As far as cleaning up, if you are as paranoid as I am.
In addition to the bleaching, (which I would recommend doing at least 2 times before the new kitten comes on every surface you can possibly do it on!) Shampooing your Carpet, and furniture.
Scrubbing things like trash cans, remot controls, light switches and door nobs, cabinet doors (The front, sides and backs of them) with disinfectants. Anything you can possibly think of, and I mean everything.
Can you tell I've had to do a lot of quarninteen sessions with all these animals which come through here, hahaha!
Good luck hun!