There are a couple of options open to you. The easiest may be to use the UI tools to backup the db and then move this backup to the other server. From there, you can use the UI tools (management studio/enterprise manager - depending on your MSSQL version) and restore the backup. Once restored, you'll probably need to clean up the logins. You can run sp_change_users_login to help with this.
Read up on sp_change_users_login, BACKUP, and RESTORE in the Books Online