Garden Center Finder Exeter Garden Center Listings page. This section lists as many Home and Garden Centers we could find in Exeter. If you are the owner of a Garden Center business in Exeter please submit your listing using the Get Listed link at the top. These Exeter Garden Centers sell gardening equipment, garden furniture, garden supplies, water gardens, garden tools and lawn care supplies in Exeter. You’ll find everything from plants, shrubs and trees to soil and gardening tools. All the supplies you’ll need for your garden.