You can find some workout routines at Youtube for doing at home. Here's a good one: https://www.youtube.com/watch?v=gzt_fBg8BCg
However, losing fat will also require some dietary changes. I recommend introducing low-sugar smoothies into it. Get some ideas from here: https://lifesmoothies.ae/blog/
Not sure about home but I know a lot of yoga/pilates studios offer classes with baby in tow - might be worth checking out one of them first with the help of a professional to guide you to get started? then once you're confident exercising with little one, you can adapt the routines for home