I assume it's box. There is a potential problem of box blight but it should be fine for a while at least as it's most susceptible from wounds due to trimming. If it does need trimming just make sure you regularly dip the shears/secateurs in a very weak soapy or bleach solution as you do it and to keep the blades sharp and clean.
Garden looks good. I got started as I had to cut the lawn and weed mine and my nan's houses from my early teens and that got tedious. So I wanted to be more creative and started getting more into plants and planting stuff and I've somehow become a bit of a plantaholic and have got tons of different flowers/shrubs in my gardens. Far too much of a mish mash and got things that really shouldn't be growing together for some reason or another.