Thomas, a professional expoxy injection is a very reliable & strong repair method. The cracks are drilled and fitted with port tubes every few inches based on the width of the crack, then sealed over with a thick epoxy to encase the cracks and ports. Once this has cured for 24 hours, epoxy is pressure injected through the ports to completely fill and seal the cracks. The epoxy material is stronger than concrete, and I've never had one fail or leak afterwards.
You may also need to have some structural stabilization done if your basement walls are continuing to move.
Check your yellow pages under basement and foundation repairs to find a company to do this.