Yes, you can use both "will" and "be going to" after "from now on," but they convey slightly different nuances, as you mentioned:
"From now on, I'll work out on a daily basis" suggests a decision made at the moment of speaking, indicating your intention to start a new habit right now or in the very near future.
"From now on, I'm going to work out every day" implies a decision made in the past or a pre-existing plan to start this new habit. It conveys a sense of determination or commitment that was established before the moment of speaking.