1) No advice, sorry.

2) Sophie the Giraffe. It is a teething toy, but by 3-4 months, my son loved chewing on it. It's $20, but swear it is worth every penny. I have never heard someone say anything bad about Sophie, and most babies we know have one.

I second the Aden and Anais swaddling blankets. They are lightweight. My son is 8 months old, and now they also work great for shading the stroller...and I am sure there are tons of other secondary uses. (If the traditional swaddling doesn't work for you (it didn't with us), try swaddling from the chest down. My LO loves being swaddled around his legs, but he got really mad when he arms were involved.)

Halo Sleep Sacks for when you are done swaddling. (It's a wearable blanket)

A good baby carrier. One you can wear while vacuuming, cooking, etc. Sometimes it would be the only way to get things done. (We used the Moby when my LO was tiny, and now we use the Ergo.)

A glider or rocking chair that you won't mind sitting in for a while

If you are interested in co-sleeping without sharing a bed, get a bassinet that attaches to your bed. You'll be comfy, baby will be comfy, and you won't be walking down the hall 134 times a night for whatever reason.

3) A baby gym. Sometimes when I needed 5 minutes to do anything, my LO would happily lay under the dangling toys and just stare at them. I think Fisher Price's one comes with music and lights. Again, not an all-the-time thing, but it helps out in a desperate situation.

Little toys to hang from her infant seat. It'll give her something to look at while in the car. Oh, while we're talking cars, get a mirror to attach to the seat she'll be sitting on. That way, you can see what she's doing.

Congrats! :)