Find out why you were declined. You just never know, it might not be the appraiser's fault. I just appraised a home (FHA) with three dogs. As it turned out, the owner was breeding dogs and selling them. The lender they used would not finance based on this. I know, I know, it seems a bit strange, but the bank considered this a commercial property. Once you find out why you were declined, you can figure out what to do next.
If it is something like this, find a bank that will finance you. And, oh, by the way, the best time to get your home appraised is Aug, Sept, Oct. This is because in my area, sales are seasonal and each year their is a bell shaped curve with the highest sales prices in the summer months. this means the appraiser will be using the sales that closed three months ago to determine your home value and they just might be the highest sales for the year.