Helmet
Troxel Sport
It's really hard to know where to start when looking for your first helmet. There are a lot of companies that sell 'em so if your looking for an inexpensive, good looking and safe helmet . . . The Troxel Sport is my suggestion. The Sierra and Legacy Gold are also good helmets but for a first time helmet, the Sport should do ya.
Rope
Parelli's Type Lead Rope
So many people ask me where to find these I decided I should put up a link to them. The 12 foot lead is great for daily use.
Boot
Ariat Fatbaby Boots
The Ariat Fatbaby boots are great all-around boots (for women and young girls.) Good for riding, good for working, great durability . . . and they come in all sorts of crazy styles so you won't be limited to western tacky.
Men's Ariat Crepe Sole
I've worn out countless pairs of boots. These by far are the most comfortable boots I've ever worn. If your in the market, I can't recommend them enough.
Heritage II LACER
A great quality product for a great price. Get the right boot in the first place and let it last.