Screen recording 300 videos

Hello,
We have approximately 300 videos that are presently online, that we need to screen record so we can have as individual files. Each video differs in duration, the shortest being 1 minute and the longest being 60 minutes.
We need:
- A file for each video
- For the video to have audio and visuals
- The file named the same as the video name on the website
- All files to be placed in a Dropbox (or similar) file for us to access

We don't mind what screen recording software you use, as long as the videos are of a good quality.

Please state in your proposal how long you expect this task will take you to complete.