It looks like cottonwood popular and yes, definitely too close to the house.
It's probably too big already to "pull out" and needs to be cut down close to the ground, then the cut surface scored and painted with some kind of herbicide and wrapped with black trash bag.
Personally I would try horticultural vinegar or baking soda paste first as a safer alternative to chemicals, but if you decide to use a chemical herbicide, be sure to obtain its MSDS and do some research. As a new house owner, this is your chance to learn and make informed choices.
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