I will probably be riding on a mixture of both? Would this mean I would need a different type of bicycle light depending on what sort of roads I would be cycling on?
Riding on lit vs unlit roads is the difference between getting lights to be see, or getting lights to see by. I find that anything over 200lumens, with a properly focused beam, allows you to do both adequately. If you are planning on riding down steep descents or twisty off road tracks, then you need more light.
Cheaper lights often have extremely poor optics, as well as vastly overrated lumen counts. Optics are important as they spread the light out evenly over a usable area, and better optics don't cause oncoming traffic (human powered or otherwise) to be dazzled. Cheaper ebay lights put out a lot of light focused on a very small point, which means that they are less useful.
Getting a reputable brand such as Lezyne, Exposure or the like means you can trust that the light you get will be useful, at the advertised level, and likely to get runtimes that approach the values quoted.
Getting a higher powered light doesn't mean that you have to use all that power, Mrs C uses a Lezyne 300 and finds it extremely good for getting around on unlit roads as it lets her see where she is going, and when around town on lit roads, she just uses the flash mode, which uses less power.
I use a 1200lumen front light, but rarely put it above 200 lumens except upon the worst road surfaces, I usually get a full weeks commute out of it on that setting before it needs recharging.
I'm not going to suggest a particular option for you to get, rather the above is more to give you some food for thought before buying. But it boils down to, for the most part, more money gets you a more powerful front light, which gives you more options for different road surfaces, desired run time and brightness.
Rear lights are perhaps less important to worry about in terms of options, I tend to run 2, one which runs on AAA batteries (a £10 own brand unit from Evans) as well as a USB charged rear for around £20, both give out about 15 lumens of light, I have one on flash, one steady. Both are quite visible from a distance, you don't need to go for the nuclear option in terms of brightness with a rear light, as you are not hoping to illuminate the road, just highlight your presence.
In addition to lights you may want to look at reflectives as from the rear these can be more effective than lights, especially in traffic. I have some on my rucksack, as well as strips on the backs of my shoes, and Mrs C has tires which have reflective sidewalls meaning she's very visible from the side.
Apologies for the long response, but hopefully it'll give you something think about.