"Baby's tears" are safe, but require a large area to grow, and might eventually become an issue with droppings lodged in the foliage.
First pic looks like a Peperomia sp.; most are safe, but too brittle and fragile for anything but the smallest species of cham.
Second pic is a bit harder to figure out - is each plant growing out a large seed? I may be a Moreton Bay Chestnut if so... not safe.