No worries. Neither running nor strength training is optimal for losing fat on its own. Also, there's no such thing as spot fat reduction. Training your chest will firm the area but won't magically make the fat dissapear
When I say 'metabolic resistance training', all I mean is training your muscles in a way that makes you out of breath and in doing so, burn fat and builds muscle at the same time
The best individual home exercises in my opinion include:
Burpees
Kettlebell swings (literally my favourite exercise of all time)
Mountain climbers
Skater jumps
As you have probably realised, these are all exercises that train your muscles AND make you out of breath. They burn crazy calories, especially when combined in a circuit. You can find more online.
The best training methods are
Circuit training
AMRAP (as many reps as you can)
Tabata (20 sec effort, 10 sec rest,)
Cardio boxing/Le Mills Bodycombat and other similar fitness classes (can be found online in video form)
An ultra simple workout I use myself is to do a 3 exercise circuit, performing as many rounds as I can in 30 minutes. Each round is 30 seconds with 5 seconds of rest in between:
30 sec: pressups
5 sec: rest
30 sec: crunches
5 sec: rest
30 sec: jump squats
5 sec: rest
REPEAT
You can modify it to a tabata format if this is too intense. I like to use variations for each exercise. On it's own, this isn't very balanced. It ignores the posterior chain and lats which could lead to postural problems. I realise fat burning is your priority but you should take care not injure yourself or mess up you muscle balance. Tits will be the least of your concerns. I suggest you do this:
15 minutes of the above circuit, 20 on, 10 off (replace jump squats with kettlebell goblin squats if you wish)
5 minutes of kettlebell swings
5 minutes of bent over kettlebell rows (2.5 min per arm) to balance out pec and shoulder development
I covered all 5 basic muscle groups in 25 minutes and designed the workout to be simple, doable at home and require as little equipment as possible (1 kettlebell, highly recommend you invest in one). You could spend an extra 5-10 minutes doing other things i.e. training you biceps, calves, more reps, jump rope etc. Just don't workout for longer than 35 minutes as you'll burn yourself out and risk elevating your cortisol which would lower your testosterone and further aggravate your affliction. Don't forget to warm up first and stretch afterwards.
I'm spitballing but I guaruntee you you'll get results from this. If you still have moobs, at least you'll be super fit
. This is just to start you off, I suggest you read around online and consider doing follow along routines on Youtube