There are two three ways you could probably do that.
1. You can go for scripting the logins and then run the script on the new server.
Database>right click...>tasks>generate script> script wizard opens up> select the database >go to the option tab> you have the check the logins>passwords etc what ever you require.>
it will ask for where to save. save the file and run that script on the other server.
this may create some orphan user.....you may have to fix that later.