Redirecting from old domain to new

I just set up a new DreamHost account and registered a new domain. I’d like to have my old domain redirect visitors to my new one. I’ll be closing my account with my old hosting service. Will that then make the old domain effectively useless? Do I need to transfer that domain to DreamHost to continue to use it?

Thanks for your help!

Transfer your old domain registration to DreamHost:

Once that’s all done, you can Redirect the old domain to the new one:

This redirect will work since you’ll be using DreamHost’s DNS service. You can get this going right away by setting your name servers to the DreamHost ones:
This is done at wherever your domain is registered.