What is the best way to make an intermediate ssh server?

Question

SSH

DD. The local provider managed to block port 22 (ssh), I have my own cheap VPS on it, I configured ssh to another port and normally I go to this server through the ssh key. Then I go to other servers by login and password.
Question: Can this cheap VPS be configured as a tunnel(?), so that my private key will be allowed not only to my test VPS, but also further? This is the only private key I have. I don’t want to leave my private key on a common test server, and this test server will get a lot of access to private information.
change of provider is not considered yet.
thanks in advance.

Answer 1

Googling in a second and a half.
google://ssh-agent forwarding