Should I do cardio with calisthenics to lose fat? Can calisthenics only burn fat?

I get you really don't NEED equipment to do calisthenics though I think having some push up handles, or a dip bar, or even a pull up stand would make the workouts more effective. What equipment would you recommend I get for just starting out? Let me know!

Context: I want to train for explosiveness and "volume", while reducing rest as much as possible (increase rep max and reps per set) in Push-Ups, Dips, Pull-Ups, Pistol-Squads and Single Leg Calve raises (maybe weighted). Goal for now: Push-Ups: 200-500, with no real rest, so only taking one hand off the ground while leaving the other or resting in pike push-up position. Dips: 100-300, rest either neutral position or a short rest (5-15 sec rest) Pull-Ups: Same as dips. Pistol-Squads: Same as Dips Calve raises: Same as Dips Below is my Push-day, but only push-ups because it won't be to long (I do the same for Push-Pull-Leg) with some progression thoughts and my question is if this way of exercising is a good approach to achieve my goal? Workout Structure - Reps per Set: 25% of max push-ups (currently 10 reps per set). - Rest: Begin with 55 seconds, reducing by 5–10 seconds each week. - Total Target Reps: Start with 100–200 reps per session, gradually progressing to 200 reps. - Frequency: 3 days per week (e.g., Monday, Wednesday, Friday). - 150/100-200, 55 sec rest per set (my last workout since I changed the entire plan) In short: Achieve minimal rest first, then increase reps per set, per 1-2 weeks. Phase 1: Establish a Baseline and Build Endurance - Weeks 1–2 Goal: Start with 100–150 total reps per session (10–15 sets of 10 reps) with 60 seconds of rest between sets. Rest Reduction: Reduce rest by 5 seconds each week (i.e., 55 seconds in Week 1, 50 seconds in Week 2). Total Volume: 3 sessions per week; aim to reach around 150 reps by the end of Week 2. Progression: Increase total reps by 20–25 reps each week (e.g., from 150 to 175 by Week 3). Phase 2: Increase Volume Gradually - Weeks 3–5 Goal: Increase total reps per session to 150–200, focusing on gradually higher rep totals per week. Rest Reduction: Continue reducing rest by 5 seconds each week (e.g.,45 seconds in Week 3, 40 in Week 4, 35 in Week 5). Total Volume: 175–200 total reps per session. Progression: Keep adding 20–25 reps per week, aiming to reach 200 reps by the end of Week 5.

I just achieved level 2 workouts including the pullups, dips, and pushups. Should I be completing the push and pull trainings in the same day or space them out?

How can I stop eating junk food every day and start eating healthy? Any recommendations? I've been eating fast food for 8 years, I almost never cook, and it's hard for me to break this habit.