I need advice with trying to learn chet atkins basic finger-picking.?

It really just takes a lot of practice. You might look on youtube for Merle Travis lessons (since he influenced Chet and many others). Doc Watson also plays that style and has lessons available, but his main piece of advice is to "practice like the devil". Rory Block is a blues player but plays the alternating b line in many of her songs. It's funny how something that once seemed hard can become second nature if we practice enough. It helps to practice a song you know because you already know what it supposed to sound like. One good song to work on is Landslide by Fleetwood Mac because Lindsey Buckingham plays Merle Travis style guitar on it.