Bike safe would be great to improve your technique.
I've never done one, but being a plod myself, am trained to drive to the system of car control etc and a lot of what is written in car Roadcraft is the same for bikes.
The key ingredient to safe biking is learning to read the road, using all the information around you. There is a lot more than you think:
Hedge rows - which way are they going/are they obscuring your view of the road ahead/can you see high vehicles above them
Telegraph Poles - you can see these above most hedgerows so give an idea of which way the road is bending/are they getting shorter (downhill) or taller (up hill)
Road signs - tell you about junctions/camber/hazards/degrees of certain bends
Chevrons - warning of a tight bend ahead/or tightening up of a bend
Line markings - do you know what all the different ones mean?
short lines long gaps - normal road, no hazards
Long lines short gaps - hazard area (junction/hill crest/bend)
solid line on your lane, broken line on other lane (no overtaking, oncoming vehicles may be overtaking
broken line you side, solid other - if you find this one mid bend - get the power on as the road is about to open up.
Next time you go out, have a good look around and start to read which way the road is going. The key is slow in, fast out.
Find a piece of road you enjoy, and keep practising on a series of bends you know.
Most of all, relaxe and have fun
