Hi, i tried to setup Linux VPS according to
this tutorial once. When Firefox was used,it eaten 300+ MB RAM
"Nowadays the real
lightweight web browsers are those without JavaScript and Flash support or with a very limited one. Because a web browser even with the lightest interface becomes heavyweight working with the modern internet crammed with scripts and multimedia."
So it depends if you require flash and javascript
https://en.wikipedia.org/wiki/Comparison_of_lightweight_web_browsers
Lightweight web browsers for Linux
I would advise VPS with 512MB RAM minimum for remote desktop.