Will an out of state Will be recognized in your new sate of residence?

Yes, indeed it will be vlid. The rule is that if the terms of the Will were valid and it was validly executed in the state in which you lived at the time, then it is considered valid in the state in which you now live.  There is no need for you to have another prepared and executed. Double check with an attorney in your new state that all the terms will be upheld there as well. Good luck.