Recs.
Updated
BitBucket is one of the largest code hosting solutions out there. Supported by Atlassian and used by millions, it uses both Git and Mercurial.
SpecsUpdate
Pros
Pro Free unlimited private repositories for small teams
Bitbucket offers unlimited private repositories for free, as long as the number of members in a team is not larger than 5. BitBucket does not use GitHub's pricing plan, instead of charging users for each private repo, it charges teams per number of team members. It is free for up to 5 people.
Cons
Con Integration with other tools is not as good as github
Most of the 3rd party tools ( bug trackers, CI servers, chat servers, etc) always integrate with GitHub first, and either don't integrate with Bitbucket at all or do sub par job in it. For example there are 3 separate projects to allow building and verifying pull request submissions on Jenkins CI server and there is only one viable one for BitBucket and that one is really buggy and lacking many features.
The only exception to this rule is Atlassian products like Jira.