[1] From now on I will take care of the children. [2] From now on I will be taking care of the children . e.
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[1] From now on I will take care of the children.
[2] From now on I will be taking care of the children.
"Will" is the only tensed verb in both examples", so they both have the same tense, i.e. the present tense
The difference is that [1] implies a fairly permanent arrangement while [2] a temporary one.