С недавних пор я просыпаюсь в 10 утра.
I('ve) recently started waking up at 10am.
I've been waking up at 10am lately.
I've been waking up at 10 a.m. recently.
Lately...?
Я думаю возможны оба варианта
Both are possible, but with different grammars.
🙏