I am new to the palm craze, but it looks like it could be a Sago Palm, but not absolutely sure. Its a very pretty Palm. If it is a Sago, then they are slow growing palms. Good luck in your decision whether to keep them or not.

Its not a palm but a cycad. Not sure which one though.

Looks more like a Phoenix species palm to me. But hard to tell. Where are you located? What USDA zone? This might help.

I believe it is a young Phoenix reclinata, a multi stemmed palm.

I agree with steve0910 it is a Phoenix reclinata. One of the more dangerous palms when trimming. Those spines hurt!

I live in LA. The leaves are very sharp! :) Thanks for everyone's help. I'd love to hear any more info!

Can you show a closer pic of the fronds?

If the leaves are sharp at the bases it is definately some time of date palm. They are worth alot when older, and one of the nicest palms to have at an adult age, so you should definately keep them. It could be a true date palm or possibly a canary island date palm. Most dates can tolerate 20 degree winters.

Hope this helps

How long are each of the fronds, it looks like a shot from your second story balcony, and tyring to guess the fronds are about 5' long (based on the scale of your kumquat)?

As others have mentioned, this is a Phoenix (Date Palm) species.

I'm wondering if a Cretin Data Palm (P. theophrasti).

I can't give a positive ID from the photo, but IF they are Phoenix reclinata, be sure you have room. If they are a hybrid Phoenix canariensis, be sure you have room. The base of a mature P. reclinata, even with trimmed suckers, is roughly the size of a compact car, then the eight or more trunks will arch about 25 ft. upward. Beautiful, but not usually seen in small home gardens.