Hiya, welcome to DH!
I answered this exact same question earlier in the week, here.
It's pretty easy to do - i've had to do it several times before and the link in that post should be everything you need.
The main thing is to keep everything intact at your old host until it works over here. Don't go deleting files or emptying your database until you're confident it's all working.
Let me know if you have any problems moving it.
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