In case any MNers wanted a tip or something to try, I've been using a safety razor for about a year now and honestly it has been great. It takes a little bit of getting used to - the technique is a bit different to a normal razor but it shaves closer than anything else and there is no plastic waste.
After the initial purchase of the handle and some blades to get you going it's a lot cheaper as well.
I bought the handle and blades from Amazon, and a little pot to put the used blades in. That's all you need. The handle was about £15 but will last forever and a pack of 100 blades costs about £10. I use one blade every 2 or 3 weeks.
I hope this helps someone either from an environmental perspective or a money saving viewpoint.