I don't know what rights you need to do this, but go to each site and do the following instructions:
- Click on Site Actions
- Click Site Settings
- Click Manage All Site Settings
- Under the Site Administration Group, click Content and Structure
A window comes up that looks like Window's File Manager. You are in the current site, but you can see that you can browser to other sites in your site collection from the left panel.
- Locate the list you want to copy items from and click the name. You will see all the items, or at least in pages of 100.
- Change the paging quantity from 100 to 1000 in the top right, where it says "Show 100".
- Select all the items you want to copy. There's an icon that looks like a stack of papers, to select all items on this page.
- Click Actions in the toolbar, then click "Copy...". A dialog will come up of the current site collection.
- Choose the destination then, click Ok.
- Repeat this until you're done copying all items from the list.
Be patient while the copy process completes, then switch to the other 49 sites.
You cannot copy from one site collection to another. You can copy between subsites or sister sites.
If you can't see the Content and Structure link in the Site Settings page, use the 12 hive URL:
http://sitecollection/_layouts/sitemanager.aspx
You'll have the items copied in no time without the help of IT/development.