In response to your questions:
A safe room
, as already mentioned, is the introductory phase for any new cat in the house. I'd probably use your half bath for a few days, if it's hardly used instead of the laundry room because the noise from the washer/dryer may frighten and stress her more while in use. She could also get stuck between the appliances and the wall, etc. Having a tiled floor surface area would also be best for quicker clean ups/spills. Place her food, water, litter box and bed or plush fabric where she can sleep on to feel cozy. A small cardboard box with a fuzzy blanket or towel would be perfect. In the smaller room, she'd feel less intimidated as stated earlier. Building her self-assurance is important for kitties! You'd be going in there every so often to check up on her too, of course. Get down low, speak in a soft, friendly voice, and entice her with toys or food to come out of hiding. Always allow your kitty to come to you, and she'll begin to trust you more. If she doesn't come out right away, it's perfectly ok. Leave the room for a while, allow some minutes to pass, and try again, maybe with a new toy. Check her litter box to see if she's eliminating appropriately. She may not go right away, but making sure she's using it consistently, along with eating, playing, and socializing with you will be a good indicator of how well she's adjusting. You may also want her to get her vet checked initially, too, if she hasn't already prior to adoption. This ensures she's rid of parasites or potential infections that can be quite dangerous to young cats or transfer to humans.
The litter box recommended is fine for a young kitten, as are pine pellets. The wood pellets would deter her from ingesting the litter accidentally, and would neutralize any urine odor. You'd be lifting out the solids and dumping out the sawdust, which can be a bit of a challenge and time consuming, but I'd allow the kitten to use it for at least the first few weeks so she's at least comfortable and familiar with using them...the last thing you want is inappropriate urination/defactation outside the box! If you do plan to change litter substrate, do it slowly and after careful consideration (another topic altogether).
Using the same food she's used to eating would again be something she's already familiar with, so don't change that immediately either. Switching dry foods slowly is a good idea, once you decide which ones to try to feed her. Purina One isn't terrible, but it's definitely not the best either. I don't know what you meant by weird, sorry. If she's already eating wet, this is a great sign! Keep feeding her a variety of wet, preferably not one from the grocery store. You can look up old threads or under nutrition to learn a lot more on that huge topic...
Other things you'd need:
A cat scratcher
--sisal scratching post, corrugated cardboard, or even better, a cat tree so she can climb up high and boost her confidence levels as she grows. There's also a toy with a ball that goes around a track with cardboard in the center...that's a good toy, and will double as a scratcher.
A good scoop
to go with your litter box! A heavy duty metal scoop would be great if you decide to transition her later to scoopable clay, but I've also used it for pine pellets too.
An enzyme cleaner
--helps with any accidents your kitty will have, and it's best to be prepared than after the fact. Many like using Nature's Miracle, which can be found in most pet stores.
Depending on your kitten's type of fur, a brush
might also be a good idea (long haired cats, especially).
Optional: nail clipper for cats
--many may say this is unnecessary, but I like to trim my kitty's nails weekly because having less pointy claws always mean it's better for me! You don't need this right away, of course.
-well, this is up to you, but I've found teaser wand toys with feathers very exciting to watch for all kitties. Lasers are also good, but so are brown paper bags, rattling mice, crinkle or fur balls, etc. Get her a variety and switch them around every week or so she won't get bored. Interactive toys are always are a hit, though.
We're all cat crazy here, so hopefully others can add on their opinion or speak from personal experience, too.
Please keep us posted with your new adoption!