Unless you're riding for show, or in full dress, it doesn't matter as much what kind of boots you wear. As long as the boots have a good heel on them so that your foot doesn't slip through, either paddock boots or tall boots can be worn. (Or any other pair of boots.)
paddock boots are great for lessons and just fooling around at the barn, but once you get more serious with you're riding it is better to get tall boots (espiacialy for showing).
as long as they are strong boots
shoes with a small heel riding boots or jodphur boots are best
longer riding boots are better in my opinion as they make riding more comfortable for both horse and rider. Your appearance also looks much better with longer boots.
you need a helmet, riding boots, riding pants, and a crop( if your horse is slow ). you can find these things at the store Horsing Around.
kijiji is a good start.
Boots or sneakers.
I would reccomend Dover Saddlery
The tall riding boots of today are the ancestors of boots worn by 17th century British soldiers. On the battlefield these tall boots protected the lower legs and gave the soldiers better contact with the horse's side.
$40 to $400 in Australia
One can purchase men's riding boots from many different places online and offline. One can get them from Amazon, Ebay, and any other horse riding business.
There are several places that sell horse and rider gear. I use Dover Saddlery, since I am an English rider, but there are also other stores, like Horse and Rider. You can probably find a location near you on a store's website. Also, if you no what size you need, you can consider buying online.
A saddle, saddle pad/blanket, bridle with appropriate bit, stirrups, riding helmet, jeans or riding pants, chaps or half chaps if you do not use tall boots, riding boots.