Communication expenses would include things like:
The internet service could be listed under miscellaneous expense. The desk is a piece of equipment that is depreciated under the asset section of your business. If the desk was < $2,500 then you can elect De Minimus Safe Harbor treatment and deduct as a miscellaneous expense.
The home office form is totally separate from the Schedule C for business expenses. Home office expenses are added on to the bottom of Schedule C, but only if applicable. So all your other expenses can be fit into the lines on Schedule C.
Turbotax suggests putting expenses for communications under utilities. I include internet costs here too, along with fax service. It's a little bit arbitrary where you put some of these expenses within Schedule C, as long as they make at least some sense. I put other internet services (SmugMug, billing services, email) under Office expenses, but I put things like internet security or UPS units under Repair and Maintenance. I added only Adobe CC subscription to the Other category.
As for any small purchases, e.g., if your desk is less that $200, you can put that in as an expense instead of either a 179 deduction or depreciation.