Option 1
A less expensive option if you don't mind having a plate behind the refrigerator is to put a 3 gang blank plate over the existing 3 gang switch box. Then feed out of it with the necessary wires to the other side.
The electrical is pretty basic as all you would be doing is extending the switch loops/legs to the new 3 gang box. You do not necessary need a hot or a neutral but current NEC code requires a neutral therefore you would need a neutral just to cap off later, and of course the grounds.
That being said, you would need 6 switch loops for your 3 switches plus one neutral for each branch circuit. If they are all on the same branch circuit then just one neutral.
To make life easier, run a 14/3 (3 wire) for each switch (it might need to be 12/3 depending on what the current wire size is). Use the Black/Red as the switch loops and cap off the neutral(s).
Option 2
Another option is to use Lutron Pico wireless devices. The wireless pico switches can go just about anywhere as there are no wires.
This option is technically more involved as you will need to match the dimmer to the load type, i.e., incandescent, LED/CFL, low voltage magnetic, or low voltage electronic. This could end up being more involved than option 1 if you are not familiar with the products. You could hire an electrician do this but the price would probably be too high for most people.