Ahh, welcome to Aquaria Central! Fish tanks are wonderful things and you have started off the right way, by researching. Since you are new, please allow me to provide you with a few links. First one is probably most important and it deals with "Cycling" a tank. The Cycle refers to building a colony of bacteria that turns waste like ammonia and nitrites into nitrates. Just follow this
link and you will read about different options as well as to just why it is vital to your tanks survival.
Next, I want a moment to defend live plants. I set up my very first planted tank in January of this year, as in last month. I too had heard they were hard but truth be told, once you've done some research into how much light you need as well as fertiliziation, it couldn't be much easier. Here is a
link to the Aquatic Plants section right here at Aquaria Central. Please take a look at the threads at the top of the forum all labeled sticky. They discuss many issues regarding plants and if you have questions about live plants, please just post in that folder and someone will be along to answer it when they find it. Also, if you have a moment, take a peek at the link in my signature to view my own planted tank and judge for yourself if even an idiot like me can do it. Trust me on this, if I can do something, anyone else can.
Also, guppies and neon tetras are great tankmates and a god choice for the size tank you have. You could go with a nice low-light tank and have some java moss and java fern and your fish would love you for it and probably reward you with some fry after a time. Your tank is about 15 gallons so it could house a school of 7 neons and probably 3 female and 1 male guppy to start, especially with some plants. Anyway, as you do some more looking around and get more ideas and inevitably have a question or two, please post and everyone will be glad to help. Best of luck!