Without knowing if this in downtown Manhattan or seeing the rest of the home's layout I am not going to say that "you
must find more space to make the update worthwhile" but I would strongly suggest that the existing kitchen is not going to be adequate for the majority of modern renters or buyers.
It can be frustrating to hear that, especially once you've already done the leg work to find a quality local cabinet shop, but the fact is that the data shows that MOST kitchen remodels only return a fraction of the cost in added value and the reason is that far too many DIY remodelers are too fearful and unskilled in rearranging the space to increase the functional aspects of the kitchen. I strongly recommend learning the basics of how the overall layout of the whole space is vitally important --
Smart Layouts for Small Spaces
I really like the efforts that firms like Ikea take in setting up not just 'model kitchens' but entire mock apartments that reflect an efficient use of ALL available space. It is foolish to get bogged down in the details of what sorts of wiring or framing is hidden behind existing cabinets. FIRST make an honest assessment of what every sq inch of space in the unit is being used for. You might be amazed at both how much more cost effective it is to rearrange space that is inefficient AND how doing this is really a smarter financial move than upgrading a kitchen in a unit that remains hostile to modern living.
While there are certainly aspect of the various remodeling TV shows that one can easily criticize (like the warp speed pace and 'insider pricing'...) the fact is that the real reason that nearly all of them end up dramatically redoing the kitchen is that the way people use kitchens today is dramatically different than in decades past. The various functions that may have once be done in living or dining rooms, from everyday meals to entertaining friends all happen in well designed kitchens. That demands a certain kind of circulation pattern.
I know some folks in apartments (and even mansions...) never really do an cooking in their kitchens, but I personally do and I know people that are unaware of the wide range of high performance appliances that are available to fit compact spaces. For folks that understand their importance the investment is worthwhile --
10 Easy Pieces: Best Appliances for Small Kitchens: Remodelista