I assume from your fish that this is a brackish tank? What level of salinity are you at and what type of salt mix do you use. Brackish and marine tanks don't suffer from the same ill effects of nitrite levels due to the higher concentrations of NaCl in the water. This helps the fish combat the effects of nitrites attacking the gills *(well it starts to block the intake of oxygen which is bad). 0.25ppm of Nitrite is the upper safe limit of nitrite in a freshwater tank. IMO I would do enough of a water change to reduce this nitrite to zero. But that also depends on the type of tank maintenance you already do. Large water changes are safe if you have been doing larger water changes. If you have been doing small water changes or just water top off during the past 4 months then stick to many smaller water changes with a few hours in between to let the fish acclimate.
As for the cycling of a tank, obviously your tank has "uncycled" somehow and the bacteria currently in the tank can't keep up (changed filters maybe, new fish?). Your tank will catch up with new bacteria given time but if these fish are being kept in freshwater (and they shoudln't be) then keeping that nitrite low is very important.
As for the cycling of a tank, obviously your tank has "uncycled" somehow and the bacteria currently in the tank can't keep up (changed filters maybe, new fish?). Your tank will catch up with new bacteria given time but if these fish are being kept in freshwater (and they shoudln't be) then keeping that nitrite low is very important.