Claude Code conversation history doesn't sync across computers on the same account

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

I use Claude Code on multiple computers (two work locations plus personal study at home), always under the same account. I noticed that, unlike project code (which syncs via git/OneDrive), conversation history is only stored locally on each machine, even when pointing to the exact same working directory.

Concrete case: on one computer, I spent over two hours providing business and organizational context for a project (shared naming conventions, company structure, requirements), explicitly asking not to have any code generated until that information was complete. When I switched to another computer, that conversation became inaccessible — I lost all that context, despite using the same account.

Proposed Solution

Store conversations as history/logs tied to the account (not just to the local machine), so they remain accessible from any computer under the same account. This would provide real continuity across sessions and devices, more consistent analysis over time, and would avoid losing valuable context the user has already provided — especially relevant for anyone working across multiple locations or devices.

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

Interactive mode (TUI)

Use Case Example

_No response_

Additional Context

_No response_