Both "will" and "would" are possible. Unless you want to emphasise "will" (e.g. to confirm, in cases where doubt has previously been expressed), I suggest you use "would".
"to my native place" sounds a bit strange here. I would need more information in order to suggest an alternative.
In that case you can say "come to my birthplace". (But there is no reason to mention that it is your birthplace unless it is specially relevant to the situation.)