Q switch vs Alex Trivantage? Would q switch be sufficient to remove my tattoos? (Photo)

I'm about to have my 1 month old tattoo. The doctors are charging me differently and some offer the q switch (cheaper), some offer the Alex trivantage (expensive, more than double the price). I only have an all black tattoo (see attached images). Would q switch be sufficient to remove my tattoos? Or it would take more sessions than Alex trivantage and be relatively more expensive in the long run? Any suggestions?