You or your network admin should do the following:
1) Create a “common” SQL Service domain account (e.g., Domain1SQLService).
2) Make the account a member of the local Admin group on each server.
3) Load any SQL Server AND SQL Agent services through that account.
Such accounts can/should be allowed to log on locally.
However, you might want to remove the BUILTIN Administrators group from the sysadmin SS role (but only after first creating a login with syadmin membership for a DBA group!)