Applying as a new grad in DC

Hey y'all, I'm in need of some guidance from you nurses in DC! I'm set to graduate from an ADN program in May in North Texas. I am considering applying to jobs in DC when I graduate, and am wondering what the best hospitals for ADNs are. I would prefer a residency or internship, but I was looking around some of the hospital websites and I know at least Georgetown requires a BSN for their residency program. I will have some PCT experience on my resume so hopefully that'll help. Also, I'm a little confused about how to get licensed in DC after going to school in Texas - would I just take the NCLEX there after I graduate? How does that work if you live around that area & have to move around to hospitals in Virginia, just outside DC?

Thanks for any info y'all can give me on this - I have been to DC a handful of times but have no idea what the hospital situation there is like!