There are three types of prints that you might be scanning:
Scanning paper photos prints.
Photo paper prints are easy to scan. You can choose to scan them yourself at home (purchasing a scanner that can do the job is usually cheap and costs less than a $100). You can also choose to mail them (or hand them) to a professional scanning service that will scan them for you and mail you back the originals and a DVD with the digital scans (such services include www.digmypics.com, www.digitalpickle.com, www.britepix.com and many more)
There are pros and cons to both scanning at home and using a professional service. If you have a small number of photos scanning at home is easier. If you have plenty of photos using a service might be easier but you can end up spending more money.
When scanning at home consider the following:
Scanning negatives and slides
Scanning negatives and slides is harder than scanning paper prints. In most cases it is easier and maybe cheaper to use a professional scanning service (such services include www.slidescanning.com, www.myspecialphotos.com, www.pixmonix.com and many more). If you want to scan at home your standard flat scanner will not be good enough. In most cases you will need to spend money on purchasing a film/slides scanner. Those scanners are more expensive than the flat paper scanners. Negatives and slides are small high resolution sources and thus require scanning at higher DPI than paper prints. In most cases 2400DPI or higher should be used.
The considerations for scanning negatives and slides are similar to scanning paper prints. If you need to scan just a few negatives or slides speed and ease are not important but if you’re going to scan hundreds or more you should spend more money on scanners that can feed the negatives or slides automatically or can just load a roll of film and scan it.