No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
Looking for banks and/or credit unions that have mortgage relocation programs for people relocating for current job. I know Chase and Wells Fargo have something on their sites.
It depends on what you're looking for - some employers that move a lot of people around have arrangements for some of these services which can include moving, mortgage prequalification, real estate agent services, even buying your existing home to help you be able to buy at your new location.
Wouldn't hurt to reach out to them to see what they can offer, don't know what it would include though.