That's my setup- many people from my work are remote from home. As long as I can put in my typical 8-10 hours a day, they don't care where I work from.
Here's my desk- same as you, 2 screens, mouse, keyboard (ergonomic, at that), and cell phone.
I waiver between a phone handset and a headset.
Internet will be your biggest issue. Especially if you do this regularly- the cost of data and working fulltime can use up quite a lot. I've bounced around between a bunch of options and couple of ways of getting unlimited plans.