Inkjets, particularly ones intended specifically for photos, can make prints that rival any professional print lab. The convenience is wonderful. The cost is not.
Photo-grade paper sells for anywhere from 5 to 20 cents per small sheet. Ink, of course, will add substantially to the total, simply because you use a great creating sharp, crisp images. If you're printing more than a few photos, you'll always save money by uploading them to a print lab. With many online shops you can even skip the shipping costs by opting to pick up your pictures at a local store.
In a pinch, feel free to make your prints right in your home office. For bulk orders, upload your images, let someone else do the work and save money in the process.
Inkjet printers are a wonderful but wacky modern convenience. The text and images they make are exceptionally good, they're dependable and they let you print in your pajamas. The tradeoff is that they aren't cheap to operate. With a bit of caution in your choice of printer and some forethought in how you print, you'll trim your printing costs, potentially save a small mountain of cash and find peace with your home office budget.