Join Date: Aug 2009
Location: New South Wales, Australia
For what you're looking for breed isn't so important but the individual horse is. Most all-round ridden breeds will have the ability to jump that - but it is going to be dependent on the individual. A Quarter Horse, Paint, Arab, Thoroughbred, Warmblood etc - there will be horses in each breed that would be good at what you want.
There will also be crazy horses in each breed, and super expensive horses in each breed. There will also be crazy and expensive cross-bred horses too. Breed is merely a type, within that there are lots of different horses. In all different breeds horses go lame or become problematic.
The best by far way to get a horse than can do all of the things you want is to buy a horse already doing them. So buy a horse that is jumping 3ft, that you can handle and see isn't crazy and then you can be reasonably certain it is suitable. I can't stress enough that the best thing to do is buy a horse that is suitable for you now not one that will be with more work, or more training or hopefully down the line. Spend the extra upfront if you need to - in the long run it will be cheaper and you'll be happier. Being flexible on age, breed and height is a good way to find an affordable price.
I generally recommend avoiding Thoroughbreds as a first horse as often they seem to have undisclosed problems or just generally can be more difficult - saying that though there are some great ones out there and you have to judge it on a horse by horse basis.