Hello to you who are part of this venture. Let's hope we all succeed in getting an agent.
Most anywhere. I often go to the public library or the college library near my home. Yes, I often write in longhand. But, I also work at my computer at home. I took my laptop to the library one time and decided it was too much to carry around. I've written in doctor's waiting rooms, fast-food restaurants, sitting in my car. You name it, I've probably done it. Oh yes, writing while lounging by my swimming pool is best.
Don't wait for inspiration to hit to write. Write everyday, if you can, and write as much as you can.
I'm a 65 yr-old retiree who's raising his now 3 yr-old grandson. I've read a lot in the past 40 or more years. Most of my reading now is non-fiction. I really enjoy a good biography. I also enjoy art, and am now taking a drawing course. I've self-published a couple of books.
Good luck to you all.