by default, all consumer level and some SMB level routers allow all outbound traffic from hosts on the LAN, and it's return traffic. These are built in access rules and typically are the last rules applied when you have created custom rules. If there are no custom rules, these default rule apply.
If it was me, I'd find a router that blocks certain known risky applications like Bit Torrent or peer to peer applications, Insta-messaging as part of their Firewall policies than trying to block ports.
blocking ports requires a large administrative effort in documentation and tweeking because invariable users will need to access a legitimate site which uses an application port that is blocked. When that happens, they complain, you tell it's block for security, the complain and you'll end up changing it to accomodate the user. With a router that blocks know risky applications like Bit Torrent, you can justify the block and back it up with documentation on how risky it is.