Myth: You must sell your current home before buying a new one!
If you are selling a smaller home and moving to a bigger home, and you qualify without selling, rent out the smaller home. If you need the money from selling the smaller home to buy the bigger one, the situation is different, now you need to sell. If you have a larger home and moving to a smaller home, you may sell to buy the smaller home with cash. It all depends on your situation; you may or may not need to sell.