I don’t see a problem with that, assuming you’re not trying to charge the same enemy unit with them (IIRC, all charges against a given enemy unit must be declared at the same time).
You don’t have to do charges before other movement, and the order in which you declare charges/“at the double” also takes into account auras and effects at the time the charge is declared.
Reading the various rules I think you are good to go - its an aura and they apply to anyone in range when they are activated . Cloaks only seem to apply at the end of the units move.