Handstand...sorta....

I'm trying to build back up to a full handstand (then handstand press ups, but that's a long long long way off!) I can headstand unsupported easily so thought I'd just try bumping my head up a bit so that I was closer to a handstand position. Which was fine. Easy. But it didn't feel like the next logical step was a handstand. I'm not sure how to reach that. Any tips welcomed.