Converting savings' currency (LT)

This autumn I'll be moving to the UK to study and for the past year I've been working a full-time job to scrounge up some savings to support myself at least at the beginning of my studies. All of my savings thus far are in euros but due to the ongoing Brexit shenanigans the pound sterling doesn't seem like the most stable currency at the moment.

Would it be safer to convert my savings as soon as I can or as late as possible or perhaps try converting them in chunks? I have never converted currency on this scale ever before in my life, so I'm not sure what the safest option would be here.