I think this is how it will play out more or less. It is very unlikely that BCH will rally from here directly to new all time highs. More likely, it will rise step-wise and then make a plateau.
Bitcoin did this in November 2015, when it started rising from the low 200's, after the long bearemarket. The plateau was at 500-600. We will probably see a very similar structure with BCH.
Good profit taking points are the resistance linkes I drew, I expect pullbacks at these levels, however, not very big pullbacks.