There's more than one way to do that since it comes down to calories in vs calories out. Lifting will obviously be your best friend for keeping muscle mass.
I would continue lifting and treat it as your number one priority. Cutting isn't a time to build strength so I'd do a hypertrophy workout with multiple sets of 10 with 60 seconds of rest between sets.
Supersets with opposing muscle groups or a total body circuit would allow you do do more in less time. That will also challenge your cardiovascular system and drift towards interval style training. Cardio doesn't have to be running. Think Crossfit style training but with common sense--a balanced workout that uses exercises that have a low risk of injury when done in a fatigued state.
Personally, my workouts don't change whether I'm trying to add or lose weight. I do it with diet. I probably squeeze in a bit more cardio when I'm trimming fat but I try to get that in for my health anyway.
My favorite cardio is sprinting. Our gym has a track that only takes 6 laps to reach a mile instead of 10+ like most indoor gyms. The straightaway is about 90 meters and curves are 40ish. I sprint/run fast on the straight and walk the curve for rest. I usually do about 4 laps and call it a day. Some days I run at 80% and walk slower and others I run at 70% and walk normal. I usually do this before I lift. It takes away from my lifting a bit but I don't mind. It's a good workout and I'm plenty warmed up to lift.