The easy and secure way is. Enable ssh key based login on Linux server
1. For browsing on Linux Machine, You can get help from the article how to ssh login from windows machine to Linux
How to ssh login from windows machine to Linux Machine
2. For SVN check out, do the following on your windows machine
2.1 You have already installed Tortoise SVN
2.2 Install pageant
click here to Download (it remembers the ssh key for SVN Tortoise) and you are able to checkout without username and password every time ( it must be running for SVN checkout)
2.3 When all done checkout by right clicking on new folder and SVN checkout on your Windows machine
Have FUN