docs: update readme

- add links to badges
- change introduction

README.md

@@ -1,19 +1,19 @@
 # TGPy
 
-_Run Python code right in your Telegram messages_
-
-![PyPI](https://img.shields.io/pypi/v/tgpy)
-![Docker Image Version (latest semver)](https://img.shields.io/docker/v/tgpy/tgpy?label=docker&sort=semver)
-![Open issues](https://img.shields.io/github/issues-raw/tm-a-t/TGPy)
-![Docs](https://img.shields.io/website?label=docs&url=https%3A%2F%2Ftgpy.tmat.me)
+[![PyPI](https://img.shields.io/pypi/v/tgpy)](https://pypi.org/project/tgpy/)
+[![Docker Image Version (latest semver)](https://img.shields.io/docker/v/tgpy/tgpy?label=docker&sort=semver)](https://hub.docker.com/r/tgpy/tgpy)
+[![Open issues](https://img.shields.io/github/issues-raw/tm-a-t/TGPy)](https://github.com/tm-a-t/TGPy/issues)
+[![Docs](https://img.shields.io/website?label=docs&url=https%3A%2F%2Ftgpy.tmat.me)](https://tgpy.tmat.me/)
 <!-- ![PyPI - Downloads](https://img.shields.io/pypi/dm/tgpy) -->
 
-TGPy is a tool for running Python expressions and Telegram API scripts, built on top of [Telethon](https://github.com/LonamiWebs/Telethon).
+**Run Python code right in your Telegram messages.** TGPy is a tool built on top of [Telethon](https://github.com/LonamiWebs/Telethon).
 
-- Do Python calculations in dialogs
-- Use code to send messages, save files, analyze chats and more
+- Calculate right in chats
+- Send messages, save files, analyze chats &mdash; with simple code
 - Set up functions to automate your Telegram actions
 
+[Basics Guide](http://tgpy.tmat.me/basics/code/) · [Extensibility Guide](http://tgpy.tmat.me/extensibility/context/) · [Reference](http://tgpy.tmat.me/reference/builtins/)
+
 ## Getting started
 
 Python 3.9+ required. Install TGPy and connect it to your Telegram account:
@@ -25,18 +25,10 @@ Python 3.9+ required. Install TGPy and connect it to your Telegram account:
 
 You’re ready now. Send Python code to any chat, and it will run. Change your message to change the result.
 
-Details on installation: http://tgpy.tmat.me/installation/
+[Details on installation](http://tgpy.tmat.me/installation/)
 
 https://user-images.githubusercontent.com/38432588/181266550-c4640ff1-71f2-4868-ab83-6ea3690c01b6.mp4
 
-## New TGPy docs
-
-**[Basics Guide:](http://tgpy.tmat.me/basics/code/)** All you need to know to start using TGPy.
-
-**[Extensibility Guide:](http://tgpy.tmat.me/extensibility/context/)** Special features for advanced usage.
-
-**[Reference:](http://tgpy.tmat.me/reference/builtins/)** List of TGPy objects and settings.
-
 ## Inspiration
 
 TGPy is inspired by [FTG](https://gitlab.com/friendly-telegram/friendly-telegram) and similar userbots. However, the key concept is different: TGPy is totally based on usage of code in Telegram rather than plugging extra modules. This leads both to convenience of single-use scripts and reusage flexibility.