What services are there for working with clients when developing a website?

Question

CRM

I know that there are a huge number of management systems for working with customers. But I can't choose the right one. All development and project management goes through the mail, which is very inconvenient and not productive. Advise your (if any) services that you use.
Desired functionality:

• Chat with a client.
  
• Adding tasks.
  
• Creation of a new project for a new customer.
  
• Notification of a new letter in the mail (integration with mail services)
  
• Prioritization
  

I will consider all the options you suggested.

Answer 1

From budget and simple options:
Try trello - great stuff.
Create a board for each project. You can add tasks, priorities, and so on to the board. In short, Kanban, everything.
Or use Google docs: there you can organize a chat and put comments in the document, and, in my opinion, there are even some notifications if someone has made changes to the document
. You can also look at megaplan or Bitrix24. For small teams, it's inexpensive

Answer 2

We use worksection.com
Correspondence in the same place or mail (I prefer mail), closed one of the stages, sent a letter to the customer in writing and he confirmed it with a reply letter. If suddenly there will be a swing later, there is a correspondence that you can quickly find / show / print, etc.

Answer 3

redmine:
slack/telegram:

• Chat with a client.