For wildlife you want at least 200mm, preferably 300 or more. These lenses are expensive, especially if you choose a zoom lens. So consider a fixed focal length moderate speed lens -- say a 300mm f/4. That should cost a little over $1000. You will see zoom lenses with a range of something like 70-300 for considerably less. These are optically inferior but might meet your needs (i. e., if you don't intend to sell wildlife images or make large prints).
A "travel zoom" typical has a very large zoom range -- something like 18-200. It is intended for people who don't want to carry multiple lenses. But travel zooms are severely compromised optically. Don't bother.
For macro work you will need a macro lens.
So you seem to be looking at a three lens outfit: kit lens, moderate long zoom, and macro lens. Welcome to the world of dslr photography.