Carica papaya

Looks like a papaya ....

Your plant, one of my favorites) is Bush Ivy (Fatshedera lizei). It is important to understand how it grows to use it correctly. Unlike other ivies, it does not have little roots that cling. It must be supported (espalied) on a wall, fence or pergola. As it matures in your zone it will send out branches that could be 12' long and it becomes very heavy so needs a strong support. It can be pruned back and controlled any time of the year. I have grown it on a fence using tiers of grape wire supended through screw eyes and the branches afixed to the wire with single wrap velcro. Also, the entrance to my garden in a former home was a strong arch with Bush Ivy secured to it. In the late winter you will note quite a bit of yellowing and dropping leaves. Normal situation not to worry about. Hopefully you can find a growing situation for this plant. It is a beauty.

It looks reasonably Magnolia-like to me as well, but I couldn’t ID the cultivar from this distance and without flowers. Magnolias vary a fair amount in hardiness depending on cultivar. Regardless, if you are much colder than zone 6, growing in containers doesn’t work well for most plants because the roots get much colder than in the ground when the containers are so exposed to cold air on all sides, unlike roots in the ground that have more natural insulation. where are you generally and what is your USDA growing zone? Are you planning to grow plants in a container or in the ground? The NYC area is zone 7, and potted plants there should be at least hardy down to zone 5 if they are likely to survive. So it might be one of the smaller, hardier magnolias like ‘Jane’.