MMM's conventional wisdom is to put all your cash in a Vanguard index fund and turn the other way. This is extremely economical, and requires diligently putting money in the account and ignoring it. I did this recently, but I also found out that I'm... Well, I'm lazy, and I like mobile banking applications and automatic things, and (that I can tell), Vanguard's programs aren't very automatic...
So when MMM posted about Betterment, I checked it out with about $500, and saw that not only would Betterment would automatically diversify my holdings, help me forecast according to my savings goals and timeline using a really gorgeous and nifty graphy widgety thing, I could also very easily set up an automatic transfer to meet my goals. VERY "set it and forget it" for only slightly more than Vanguard's extremely reasonable fees; .25% Vanguard vs. .35% Betterment, for people like you and I with less than 50k savings... But cheaper, if you save more than 50k!
As for moving, I can't really help you there. I live less than 20mi from where I was born, so.. But, good luck with the moving plans! :)