Welcome!
The previous posters pretty much nailed the controllers starting from cost effective. The Thrustmaster T16000m really is an excellent low cost stick even for an experienced player and their throttle and pedals are good enough if you think you'd like to use all your limbs. If you end up favouring some plane type getting a matching controller set can be a nice addition to the addiction but for starters a neutral set can help you choose your plane better.
However, if you've got accustomed to the RC controllers, something similar for USB can be used. AH can take any controller Windows can recognize. And it can take LOTS of them! Someone used to have a dozen or so identical game pads attached to a board around his stick for the various functions of the game. Bear in mind, though, that RC planes are mostly flown from the outside and below whereas AH planes are mostly flown from the inside. Bombers can be flown from the outside but even then the default view is from the rear.
Using a TV as a monitor can be done. There's one thing to check, though: The input lag. Some TV's have more of it than others. What it means is that things in your PC and video card are those that determine what's happening in and around your virtual plane. Input lag is a delay between that and what you see on your monitor. It's often caused by various enhancing technologies used for the TV - there's no harm done if you see a TV show one second delayed! In real time games like AH you can be spotted and shot during that second so disabling any image enhancers is a must. At the easiest it can be done by choosing the PC output, at the worst the settings are hidden into the deepest subcategory. There's websites comparing the input lag for many TV's, hopefully you'll find yours being among the better ones. Google is your friend.
The learning curve is steep if you want to become a master. Sometimes it feels that there's people who take this as a prepping course for becoming a real propeller fighter pilot - there's tons of suggested reading and viewing about maneuvers and other tricks used in WW2. You can take that road as far as you like. Or, you can take it easy and learn just the basics. It's like throwing darts. You can be competitive and try to win everyone or you can pass some time over a pint of beer having fun with friends. Either way it's your choice, do what suits you best.