What is a good exercise plan to lose 60 lbs in 6 months, while eating healthy?

That amount not safe. A good rule is to lose 1-2 pounds/week. 500-1000 calorie deficit/day below your required amount will give those losses. At that pace, you would lose 26-52 lbs. In 6 months. It's easier to lose weight early on and the pace of loss often slows down. A combo of cardio and weight training should give you best results. 5-6 days/week of exercise is ideal. Bariatric surgery can be another option.
Let try to help. . According to the american college of sports medicine, healthy weight loss is usually no more than 1 to 2 pounds per week. At this rate, your goal will be to lose a total of 60 pounds in approximately seven months from the day you start. Control calorie’s is very important. Exercise 5 days a week. 3 cardio days and 2 toning days. I hope that will help. Thank you.