I won't suggest any beginner to buy a Beginner's 5 Gallons Brewing Kit. I consider those kits are a waste of $.
I would suggest any beginner to jump right in "All Grain Brewing" using your stove top in your kitchen. A reasonable batch size is 2.5 to 3 gallons. Get yourself a 6 gallons (24 Qt) stainless steel kettle. Costco sells one for $39.99, or a little bit higher from Wal-Mart for the exact same kettle.
https://www.walmart.com/ip/Tramonti...5035&wl11=online&wl12=776837853&wl13=&veh=sem
Buy a 5 gallon paint strainer as your brew bag, and you are good to go.
Because of the batch size, you can ferment in a regular 5 gallons plastic bucket with lid from any hardware store. You can buy the white color ones if you have concern of "food grade". Or buy another 6 gallons stainless steel kettle and use it as fermentor. You don't need air tight cover and any air lock, so just close the lid, and forget it.
As for kegging equipment, buy used on craigslist. Get a 5 gallons ball lock keg, it is ok to put just 2.5 to 3 gallons of beer in it, you just use more CO2. In my area, used keg is listed for $40, CO2 tank $50, regulator $40.
The total for the above is not even $200, you have the rest of your budget to buy even a new 7 cu ft chest freezer($129 from Costco). That takes care of temperature control for fermentation and chill your keg when serving. Speaking of temperature control, get an Inkbird ITC 308 from Amazon for $35. You need hydrometer, 1/2 inch auto siphon, hoses, ball lock quick disconnects (beer + gas), picnic tap, starsan, spray bottle and PBW.
You still have $ left for ingredients, after all, we are about brewing beer. How can that $5xx Brew Kit beat that?