yes defo in a female friendly manner
While women are not just "little men" the lifts that work for men will work for women. There's no "women's lifts" and "men's lifts". If you mean you don't want to bulk, my response would be "you should be so lucky"
. However, the recent c-section might be a limiting factor if you can't brace your mid-section to protect your back.
The most effective exercises for building muscle and burning fat are the big compound movements (squat, deadlift, bench, pull ups, press-ups, overhead presses, hip thrusters). General rule of thumb is that lower rep schemes build strength while higher rep schemes (10-15) build muscle "volume". No-one but Les Mills knows what >15 reps does.
What size weights do you have at home? 5x5 is a great, simple and effective strategy, but you'll struggle to make that work unless you have a garage gym with a full set of DB's, bench, rack, pull up bar etc. just because you'll out-squat a 5 rep DB weighted squat in no time - you'll be restricted by what weight DB you can get onto your shoulders rather than what you can squat with that weight. I also find DB deadlift really awkward and hard on the grip vs. a barbell lift.
All that said, you can do a fair bit with bodyweight and then look at a gym as you progress. Options are press ups, plank, lunges and squats (don't do hundreds of air squats- do a few reps with a hold half way up to develop strength under tension), hand stand holds, tricep dips off a step etc. If you have anywhere you can install a pull up bar that would be a big help as then you can start working towards a pull up- lots of progression options and they are amazing for your back. A lot of people put them on the outside of the house.
Achieve Fitness Boston is another great insta account. Great form tips and a very inclusive "vibe".