Hi Viola, you would simply say: You're welcome to visit our hometown.

I've heard my Chinese students in China say something like this all the time. One thing to remember is that hometown in English literally means the city, the town where you're from. Not province or state. So if you mean hometown, it's fine.

You are welcome to our hometown. We welcome you to our hometown.

Welcome sounds like the person is already there, or at least is definitely coming. So "Welcom you to come" sounds odd to me. It the person has not decided to visit: We would welcome you . . . You would be welcome to come to our hometown . . We invite you . . . If they are already there: We welcome you . . . etc.

In a conversational setting, this is acceptable. Go ahead and use this to introduce your hometown to someone :)