And do this without using ssh-agent, that has a number of problematic security constructs (e.g. key forwarding).
Create your keys
ssh-keygen -t rsa -b4096 -f ~/.ssh/github_key1_rsa -C some-id1 -N ""
ssh-keygen -t rsa -b4096 -f ~/.ssh/github_key2_rsa -C some-id2 -N ""
Login into github and add the ~/.ssh/github_key1_rsa.pub
and key2 to the appropriate accounts, under “settings” -> “ssh and gpg keys”
Add these identities into your ~/.ssh/config
Host github.com-acc1
HostName github.com
User git
PubkeyAuthentication yes
IdentityFile ~/.ssh/github_key1_rsa
Host github.com-acc2
HostName github.com
User git
PubkeyAuthentication yes
IdentityFile ~/.ssh/github_key2_rsa
Then update your upstream origin
git remote set-url origin github.com-acc1:myname1/Repo.git
git remote set-url origin github.com-acc2:myname2/Repo.git