Should I use rest or soap

First of all: I'm from Germany, sorry for my English.

I read a lot about REST and SOAP and found out a lot of pros and cons, but I'm still not sure which one to use for my application. My application should provide an API for creating, deleting, updating, and retrieving data. So I thought about implementing its REST path. It should also be possible to send big data (e.g. video) to my API, and this API should only be used by authenticated individuals.

Are the last two restrictions forcing me to choose SOAP over REST, or is it easy to authenticate users through the REST API?

Thanks in advance