Visual Studio Code, WebStorm have excellent support for TS built-in. There is also CATS (https://github.com/jbaron/cats) that's targeted towards TypeScript.
For Sublime, Atom, etc. there are a bunch of plugins that you can download:
https://github.com/Microsoft/TypeScript-Sublime-Plugin
https://atom.io/packages/atom-typescript
Check out the DefinitelyTyped (http://definitelytyped.org) and Typings (https://github.com/typings) for type definitions to most of the popular JS libraries. There is also a list of some useful tools and utilities on the DefinitelyTyped website but here are a few that might be useful:
https://github.com/palantir/tslint
https://github.com/sebastian-lenz/typedoc