SSH and SFTP combined?

I often find myself using SSH and SFTP side-by-side. A typical workflow looks like this:

1. Log into some server with SSH and SFTP using the same public key.
2. Create a directory with SSH.
3. put some files into the directory with SFTP.
4. Set permissions over SSH with chmod.

It can be kind of annoying doing all of this with two terminal windows, so I'd really prefer if I could make it appear that this is all happening within a single process.

Does some tool exist to do what I'm describing? Should I go ahead and roll my own? Or is there some reason I'd want to keep these processes completely separated?

Thanks!