Will Trump be better than Obama? It's hard to say, and Obama has set a high bar. He is very popular, he will probably retire as the second-most popular (behind Bill Clinton) president of the last 100+ years. There are obviously many things that Trump can do that will make him much more popular than Obama, but it is hard to tell if he will be a good president or have popular policies.
Will Trump send Obama back to Kenya? No. Obama is an American citizen and Trump has finally come around to accepting that fact. We think.