Cardio and strength: best together or separate?

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I currently combine cardio and strength training in my workouts; typically I do about 15 minutes' worth of strength followed by 30 minutes of cardio. I don't really have enough time to work out for longer than 45 minutes a day, and I tend to work out 5-6 days a week.

As I am getting closer to my goal weight, I want to focus more on strength training. I enjoy cardio more, especially running, but I want to use my workout time in the most effective way possible in order to achieve my goal.

I want to rethink my workout schedule and am considering separating my cardio and strength training into different workouts so that on some days, I can dedicate more time to strength training and focus on it for longer periods at a time.

Is there any particular benefit to incorporating both cardio and strength in the same workout? Or is it fine to separate them? Or better, even? I don't want to make changes that will wind up being counter-productive.

Thanks in advance for your help.