I had lots of luck with anubias and wendtii when I was first starting out and didn't really know what I was doing (and actually, all I was using was flourite). I have also heard good things about water sprite, though it can be a bit messy. Sword is probably workable as well. I would also highly recommend java fern as an easy, low-tech beginner plant. Flourite red provides some important nutrients, like iron, but swords and crypts may benefit from root tabs.
Yes, the nitrogen cycle will happen on its own and there isn't anything you need to do if you are adding live plants. Adding live plants adds bacteria to the system and provides surface area for it to grow on. Careful adding inverts (snails) to a new tank. They are more sensitive to ammonia and nitrite than hardy fish (e.g. betas).
You don't have any info on lighting. Do some research into this. Getting your lights right will avoid algea headaches. Lights are your gas pedal for algea control. On the topic of algea, you may want to look into using Flourish excel. It has algecidal properties and provides an organic source of carbon for the plants (handle with care). I eventually ween my tanks off the stuff, but I like using it during transitions.
Thank you for your help! I will be getting the plants tonight then! I have a light by Marineland that is 5100K 10watt natural daylight fluorescent for medium light need plants. Is that ok or should i go higher?
Also should i follow the steps on the fishless cycle guide? meaning should i buy pure ammonia and cycle the tank or how? I'm so confused lol. I have one baby female betta in a hospital tank for now. She will be the only one in the 5.5 gallon. I don't think she will supply enough ammonia lol. Again, i don't plan on putting her in until the tank is cycled and until she is healthy.
And another question
Do I need a heater in the planted tank?