In Mozilla Firefox click the menu item "Bookmarks - > Show all bookmarks - > Import and backup" -> "Backup". In the appeared window specify the path to the future file with bookmarks and hit Save. Copy this file to external storage and move to the second computer, then open it Mozilla. Click the menu item "Bookmarks - > Show all bookmarks - > Import and backup - > Restore". In the window that appears, select the copied file and click "Open".
In Internet Explorer, select menu item "File" then "Import and export". In the new window, select "Export file" -> "Next". In the next window check the box next to "favorites" and then click "Next". In the appeared window specify the path to save the file with your favorites, click "Export" and then "Finish". Copy this file to another computer. Open it IE click the menu "File" -> "Import and export". Next you will see a series of dialog boxes in which you do the following: select "Import from file", click "Next", the box next to "favorites", press again "Next", specify the path to the copied file, click "Next", select the folder in which the file will be copied, then "Import" and "finish".
In Opera go to menu chain "File - > Import and export - > Export Opera bookmarks". In the new window save the file with the extension .adr (it will be shown by default). Transfer this file to another computer. Run on this machine, Opera, click the menu item "File - > Import and export - > Import opera bookmarks". In the new window specify the path to the transferred file and click "Open".
To transfer bookmarks in Google Chrome, it is sufficient to have a mailbox in gmail and access the Internet on both computers. On the first computer, click on the wrench located in the upper right corner of the program, then click "Settings" -> "Personal stuff" and in the "Sync" click "set up sync". In the window that appears, enter the username and password of your gmail e-mail. If not, you can create one by clicking on "Create Google account". On the second computer do the same operation.