As a mom of two here are things that I bought for my first born, still use for my second - and I have my sister waiting to take these items over from me because they're still in great shape and the kids love them!
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The best play gym, you don't need any other.
The Play Gym | Baby Activity & Tummy Time Mat
Not only do these look good in your house, but you can pick a perfect size for you - I got 10x8 and I split the pieces across my living room and my playroom! We love this, and its so easy to clean
House of Noa Playmat
We got this to use for my son's 2nd birthday, and we will literally always take it out to use during winter breaks, summer breaks - the kids love it! My 7 month old things its so funny when her brother jumps in it with her inside (supervised)
Tumble | Neutral
THE GOAT, we got this quickly after having my first when we realized our mouths got super dry from shushing all night, and having this allowed us to sleep while it soothed our babies to sleep
Baby Shusher
super versatile for kids to use as a slide, fort, couch.
The Original Nugget Play Couch In Koala
Both kids love this, similar to mama's breast, so acts as a good sucker and teether.
Mombella Mimi Mushroom
Love how simple this one is, and how the legs don't splay out too much. Easy to clean and neutral in color.
OXO Tot Sprout Chair w/ Tray Cover Gray
I promise you don't need a $200 baby carrier, this one is lightweight, easy to clean, not bulky!
GROWNSY Baby Carrier
This actually will trap smells, and you can use any bag with it!