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I've done that when I moved a site section to a new domain, and I've just done it with changing a directory name. Google gets it right away; others still have the old, but when they catch up eventually it'll change. There's no problem at all, it works just fine.
Use 301 - Permanent redirect, NOT 302 which is temporary, and can be a problem. That's exactly what you're doing is permanently moving those pages, so why lose benefit.
The site search [searchengineworld.com] should offer plenty of help if you search for 301 redirect. Most advice is for the Apache Web server. Also, your server documentation should be able to help.