Most tummy tucks these days are safely performed on an outpatient basis, which means no overnight stay is involved. This is true whether you have your surgery performed at a hospital or private surgical facility. In some cases, particularly for patients who are at a higher risk of developing complications, an overnight stay may be recommended. I suggest you speak with your surgeon to find out what they recommend for you.
In an otherwise healthy patient having a tummy tuck as an outpatient is very reasonable. Discuss your concerns with your surgeon prior to your surgery and he or she will be able to review with you their experience and set your mind at ease before your big day!