I had one advantage, in that hubby had moved to the States for the first (almost) 5 years of our marriage, so he understood first hand the feelings that come along with moving to a different country and missing family and home.
Beyond that, I found that keeping in touch via FB, phone calls, and Skype helped. I made sure to bring things that reminded me of home - Christmas ornaments with meaning, the quilt my great grandma made me, the popcorn bowl grandma always used and I ended up with, pictures of nieces and nephews, etc. The comfort 'things' that just a glimpse of bring comfort because of the family ties to them.
Another thing I did was allow myself to wallow in grief while I was in the shower only on days I really needed a good cry. Giving myself permission to cry and really feel the misery was very healing, but putting a time limit on it kept me from letting it take over my life.
Learning to use public transportation was a big step for me. I never had a problem with getting in the car and driving 7 - 10 hours by myself, but the thought of taking a bus across town alone filled me with deep terror the first time. Now it is a breeze. It is easier to get out and about it small chunks at a time, and build on it, whether walking around, taking public transportation, driving, going shopping or anything.
As far as 'solving your own issues', it is easier to give advice as a friend, or help someone as a qualified therapist, than it is to apply the same to yourself. Don't beat yourself up, and give yourself time to adjust to it all. After visiting and loving it here, I thought it would be easy to just move over. I think a lot of us find it more of an adjustment than we originally anticipated.