Welcome to the forum, glad you found us.
1) If you simply respect a few parameters any plant is easy to grow. First & foremost they need the correct light, which is commonly referred to as "Daylight", its expressed in a rating called Kalvin which you'd ideally want 6500K of. Then being a 60g you could either run 1x4ft tube or double (personally I run only 1 over my 55g). You can find these very inexpensively at your hardware store (Lows seems to have a better selection then Homedepot) by the brand GE or Bright Effects or Phillips (I buy GE Daylights).
2) Then the plant, just like the fish need proper water, which for one means regular water exchanges and second means either A) you have plant nutrition in your tap water (unlikely in most places) or B) Simply buy 1 bottle of Flourish Comprehensive, add a few drops per week as directed and you'll have everything you need (very simple)
3) Plants need co2 to thrive like we need air, no I'm going to go out on a limb here and say youhave fish in the tank and not only one or two? That will provide sufficient co2 right there then.
Then its really down to what you LIKE what plant looks better to you then another do you need something super fast growing or rather something that fill's in slow? Long plants short plants?
To give a few planted tank ideas, here are my fish tanks, these are set up with fish and named lights only no added co2 no fertilizers nothing http://www.tropicalfishkeeping.com/p...hp?userid=1029
I'm generally selling plants from my tanks on this forum so if there's something in particular you see on the tanks you like let me know (thou I have to say I have sold so much lately I don't have too much left right now).
Another good online source is Aquarium Plants Pond Plants From Sweet Aquatics