How to tone my body (intensely)

I'm 5'4 and 60kg. I'm happy with my weight and height, although I'm not as happy with my overall appearance. I would say I naturally have an hourglass frame, but because of my current body fat percentage and lack of muscle, I'm stuck with a skinny-fat physique. It's affecting how I view myself because it feels like an awkward stage to be in.

I understand that body recomposition, a calorie deficit, resistance training, a high-protein diet, and increasing my water intake are all things I need to focus on moving forward. I've done my research, but there are still a few gaps where I'm looking for advice.

The main thing I'm unsure about is my day-to-day choices and how to fill in those gaps. I'll explain the things I'm planning to implement into my daily routine, and I'm mainly looking for a genuine opinion, advice, and constructive criticism on whether my approach is realistic and effective.

This is what I'm planning to do:

Daily movement

• 13k steps daily
• Either add skipping on alternate days or just stick with 13k steps

Morning routine

• Short core workout:
  • Planks
  • Plank knee drives / mountain climbers
  • Build up strength towards doing push-ups

Resistance training

• Focus on lower body:
  • Quads
  • Glutes (especially glute medius/side glutes)
  • Overall leg tone
  • Abs
• Looking for home/outdoor alternatives instead of the gym// or any workout channels for thiss

Diet

• Stick to the same meals for a month to stay consistent with:
  • Maintenance calories
  • Protein goal
• Cut out fizzy drinks
• Drink more water
• Try different meal preps after the first month

Lifestyle

• Improve sleep schedule
• Build consistency with habits

Main question:
Can I achieve a more toned lower body/body recomposition with this plan, especially without going to the gym? What would you change?