I work from my home salon. I moved over 400 miles away from home and had to start from scratch in a town practically overrun with nail salons and where I knew no one, save for my OH. It can be done but, like any other business, it takes time.
As you want to work from home, you need great branding and a professional, easy to find website. You can learn how to make sure your page makes it to the top of Google (SEO). This is imperative as this together with your Facebook page is your shop front. This is the first impression that your prospective clients are going to get from you.
I had flyers made up (it helps that my OH is a graphic designer!). I created eye-catching nails and took good pictures (no badly-lit, blurry pictures) And he created the flyers, which we printed on Vista print. If you're not so handy, I've seen people recommend canvaa (think that's how it's spelt). I then delivered these all around town. It took ages, but it passed my time in the early days when I wasn't fully booked out.
Join any local Facebook groups and advertise your services, if they allow it. Mine allows an advert on a Saturday.
I would also urge you not to undersell yourself just because you work from home. No, you don't have the overheads of a high-street salon, but you are a professional providing specialist nail treatments in a private, relaxing environment.
Create your USP (practically already done: providing excellent nail treatments within a relaxing private salon room. Give them a cup of herbal tea, or a nice coffee (I use coffee bags which are individually wrapped. I find these are cleaner And taste like really nice filter coffee) and a biscuit/small sweet (I've used borders biscuits and now have mini kinder buenos), make the room smell delicious and it will become an experience and not just a 30 minute nail appointment.
Decide who you want as your client (I would recommend that you aim for the ladies with high-disposable incomes who will actively seek out the very best and are happy to spend money on doing so), and target your marketing towards them.
My business has grown pretty organically through word of mouth using the above.
It's hard work, but you'll get there.
Good luck.