Your iPad questions.
Use the Lightning Digital AV Adapte -- Lighting to HDMI
There are lots of ways of moving files.
A simple and popular way to copy files and share files amoung your devices.
Using iTures to transfer files:
how is managing documents on an apple device
Each app has it own document management system.
There is not document management on the iPad. Each app knows which documents it can open and shows only those. You have no access to anything like a folder/document structure. In fact there's no concept of a folder on an iPad.
You use iTunes on your laptop to keep the iPad in synchrony with it. Changes on one are sent to the other each time you synchronise. You can, of course, continue to organise your documents on your laptop.
The iPad is a wonderful device -- slim, light, long battery life, fast. It's a great portable device. But it's not a fully-fledged computer. However, you say you already have a laptop, so it may be the thing for you.