The less stressful avenue would be to first find you a Realtor in the area you are moving to. One with impeccable credentials and also someone that communicates well with you - however you may like to converse.
This person can take care of all the fine details for you. Consider it a concierge service. An agent that does a lot of business is going to know the best in the business on a local level from lenders, title companies, inspectors, etc. Also, what may be customary in one part of the country may totally be different in another - same with the laws that govern that state. I know California is way different than Florida and New York's proceedures are complete opposite of Texas.
I don't really suggest internet mortgages unless they have an office in the area where you will be moving to. If something goes wrong, your agent cannot remedy the situation face to face.
Happy moving, keep all your receipts on your move for tax purposes and let me know if I can be of any further help to you.