I've done a lot of 3d printing in the past couple of decades (I even ran a 3d printing firm with Stratasys FDM machines before all the hobby-grade printing took off)... so I hope I can help you with this one.
If you are new to 3d printing, I suggest starting with fused filament fabrication (reprap/makerbot & clones etc.). But beware that no 3D printing technology is simple point and click. And FFF can be very finicky especially if you get a cheapo machine (<$300 IMHO). DLP resin sounds easier, but in practice it's can be very messy and print failures still happen - and IMHO a good starting entry price for resin is much higher.
However, if you want the best surface finish, then resin may be the way to go for you. But FFF can do fairly good print surfaces depending on your needs and expectations. The nice thing about FFF is that there are way more print materials and upgrade options for the printers. For example, you can get tiny 0.1mm nozzles for finer details/smoother finish, and for another print swap it out for 1.0mm to print larger/faster parts. That's why I suggest FFF to start, because if you don't yet know what you want to do, FFF gives you the most flexibility.
If you do get a FFF machine, make sure it has a rigid frame. You don't have to have a heated enclosure, but IMHO avoid the open frame and cantilever systems (unless you need to print large parts). The reason is that the stiffness of the frame makes a big difference in part quality - ringing in the belts and sympathetic vibrations in the frame will cause the print head to print less accurately. My first "hobby grade" 3d printer was a Qidi Tech X One 2 that I bought for around $300-$400 several years ago. I was very happy with that machine for what it could do, (and this is coming from my experience with high-end Stratasys machines).
If you are unfamiliar with the type of parts that come out of these processes or the type of materials used, I suggest going to one of the online 3d print houses (there are many affordable ones out there) to get sample parts before you spend money on a printer or materials.
Last suggestion: Just keep realistic expectations with 3d printing. At least at first, you'll be spending way more time tuning any kind of setup you get, and tweaking your design in CAD, than actually printing useable parts.
Edit: Grammar