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Schedule 40 PVC is what you want. Pex pipping is some awesome stuff and very easy to use, but it's not meant to be run underground.
CPVC is used for hot water applications, so it's a non- starter here.

Dub brought up a valid point. Some cities may require a permit for even this relatively simple job. I've never worked in your area, so I can't tell you yes or no to that. I can tell you that you WILL hit some buried cable where you least expect it. Save yourself the trouble and call Dig Test to come out and mark all of the buried utility lines for you. It's worth it.

ETA:
philip964 mentioned the valve on the supply side of the meter and that reminded me of another little piece of advice I should mention. When you've completed your repair, don't turn the valve all the way open immediately. Leave a few faucets open inside the house and then just crack the valve outside enough so that water starts to flow. You will hear water running trough the pipes for a few seconds while all of the empty pipes fill with water. After a few seconds the noise level will diminish, and it is safe to open the valve all the way. The reasoning behind this is simple. Pipes and joints have been known to blow out during the refilling process. Your DIY project could get really messy and expensive really quick, and I'm sure your wife will NOT be happy with you.