Lumen - small website

There's no "better" option, it's down to what you require and can work with.

Have you checked over the features of each and looked into them both?

Yeah, I have built several websites using Laravel (4.2) and I host them on shared hosting (they're mostly static with some simple CMS I coded in laravel) - performance is pretty ok. Now I am considering to move all new sites i am building now to VPS (forge + digital ocean) and considering other options instead of Laravel (e.g. Lumen). I do not know what is better at the moment so I am checking out and considering all available options.

Well if you know your way around Laravel, Lumen will be the same in most places! I know the routing is different but easy to pick up.

If you want to have some experience or wanna to play with it and your site is little start up type then you can choose lumen but if your purpose is use a framework for regular project(which can be extend in future) then my suggestion will better to choose laravel.

You can do whatever you want, but it's generally recommended that you target your Lumen-use for APIs and microservices. For a traditional web app, stick with Laravel.