IF you are tech savvy enough to build your own rig - which means you need basic skills like telling apart connectors, you know what a static charge is and how to avoid it (respective where to grab the parts and where not to), and you more or less know what you need to build a working computer - and you don't need to lug said PC around, always build your own desktop. You will get way more for way less.
OEMs have a strange habit of coupling the best CPU they can get with a crappy Graphics card, and some weird RAM configuration (like single channel when 2 channels are available) and sell it for outrageous prices. The weak GPU will most probably not affect you, but you could most probably get something just as fit for your use case for half the price by building it yourself.
Personally I am not a big fan of laptops, for the following reasons:
a) weaker hardware (because it has to be at least somewhat mobile, thus power limitations)
b) more problem with heat because of the tighter spacing and less air vents
c) way pricier than a desktop because of specialized parts, a battery, a screen and keyboard built in
d) less options to swap out parts should they become obsolete, or just stop working.
e) completly pointless compared to a desktop if you do not lug it around.
Of course, that is a completly personal thing. I know people that always buy laptops even as stationary workstation.... just in case.
Just be aware: if you buy a laptop, you gotta look at the complete package... its not only about CPU, GPU, RAM and Motherboard now. You also need to look up if the screen is any good, hows the keyboard or the mousepad, if you intend to use it.
Usually cheap laptops save money on the screen and keyboard, so make sure you read some reviews on any machine you might end up buying.
As an example I bought a small Dell 12" some years ago because of favourable reviews.... and yes, pretty much everything is really good for the price. Apart from the screen. Colors are off and seeing a white item in a webshop on a white background is almost impossible... you have to wiggle the screen for hours just to get a glimpse of the item. Hardly usable, lucky I only need it for light productivity and not image work.
I recommend/second the following things:
a) get an SSD, if needed an SSD as system disk and a normal HD as data disk. startup time of windows and applications can be brought down to seconds this way.
b) get plenty RAM (if you build your own or have the possibility to customize it). RAM is cheap nowadays, having too much will not help you, but having to little will bring your system to a crawl. So rather have half of you 16G sitting around and do nothing most of the time, than only have 8G and have your machine come to a halt because of swapping as soon as you go over that.
c) don't fret too much over what CPU to get. I know plenty of people that fall for Intels propaganda on how leet their i7 are. They are pretty cool if you have applications that can use massive multithreading. Else they are i5s with a small speed bump and a 50% price hike.
If you get a laptop, things get even more complicated. And don't even go into trying to compare AMDs chips with Intel, it gets really complicated then.
If you want a low-end workstation, avoid intels Atoms and AMDs low end chips, then you should be fine.
d) with your modest requirements, you could go without a dedicated GPU for now. Yes, an intel iGPU will do quite fine for 2D or low-end 3D workloads. I use mine for 3D Modelling from time to time, and it does the job.