Sorry to chime in late. I've been on work travel (paid out of my own pocket...that was one of the many budget cuts this year).
Personally, I prefer a furlough to a pay cut. When they quit doling out furloughs, you are still on full pay so the money comes right back. It can take years to get back to original pay if you take a pay cut.
When I've had pay cuts and furloughs I start with the budget. If the net effect (I always work from takehome pay rather than gross pay) is 10%, I cut every variable line in the budget by 10%. So groceries, entertainment, etc. The car insurance and cell phone bills are "sort of fixed" so I deal with those next. I call the insurance company and see if I can get that lowered. Same with cell phone and landline. I got about 15$ per month off the landline last time I tried. I'm on the lowest cell phone plan that has reliable service around here so that is fairly uncuttable...I did STOP talking more minutes than are paid for and paid 5$ a month more to allow more texting. This ended up cutting 10-12$/month by stopping over-minute charges (which were still cheaper than the next plan up).
Then, I add it all up and see if I'm coming in at the new pay cut. Things like rent don't go down (and thank goodness have not gone up!), and utilities and gas costs go up so usually the first cut only gets me partway there. Then I start looking at things like clothing. For one entire year, I cut the whole clothing budget and just wore what I had and borrowed clothes for special events. That helped with the furlough costs that year. I asked for underwear and socks for gifts.
When I get down to the amount of the new lower income, I give it one or two more shots at cutting costs so I can keep saving. Turning the thermostat down. Buying bulk dry beans rather than canned, etc. This part is when one stops cutting to the bone, and starts shaving the bone. If you have a family, it will be tougher but maybe they can pitch in.
This year, my 5th without a raise and with a higher chance of being laidoff or just let go, I'm working on starting a small side business that could be expanded if I'm laid off, let go, or quit in frustration at the ever increasing workload and never increasing pay.
Good luck with the furloughs! It can be difficult and I hope you and yours make it through. I keep hearing from the muckety mucks and pundits how the economy is recovering, but where I live, it has been going down quickly over the last 6 months.