Lots of good answers in here. If you goal is to lose weight, 85% is in the kitchen and 15% is in the gym. There are tons of different answers on here because what works for some doesn't work for others. I've tried a lot, i.e. Intermittent fasting, ketogenic diets, if it fits your macros, etc. however weight loss does not equal health and you asked to get healthy.

What I've done (which works for some) is I just make sure to put everything I eat into my fitness pal. My diet consists of lean protein (chicken, fish, shrimp, lean beef, with eggs and some whey protein as a supplement). My carbs are a good mix of green veggies, sweet potatoes, brown rice, real oatmeal. And I try to cook with olive oil. This is healthy, not just a fad for quick weight loss.

As far as working out, find something you can stick with and something you enjoy. It doesn't matter what that is as long as diet is good. There are tons of resources out there but it is hard to wean through.

Examples
1. Running - check out couch to 5k. You can do this in 30 minutes before your kids wake up.
2. Body weight exercises at home. Ex. Push ups, pull ups, sit ups, and body squats. 3 times each to failure. Takes 20 minutes
3. Video work outs. I've done P90x and Insanity several times and while hard, it's easy to just watch and do what they say.
4. Lifting - bodybuilding.com has a ton of resources. Try allsports beginner work out. It has videos of every lift so you don't feel scared walking into a gym the first time
5. Sports - you said you played sports, find a basketball game at your lunch break 3 days a week.

I've done these things intermittently since I decided to get back in shape about 6 years ago. I can't say I've always done well (I like food and booze too much). But I'm much healthier than I was in my 20's.