I'm looking for my first turntable.
Why??? Just making sure you have a good reason...

A lot of people enjoy vinyl for different reasons but it's outdated, technically inferior, inconvenient, and more expensive than digital. And records are easily damaged.
As I mentioned above, I wouldn't worry too much about the turntable itself as long as you don't go "too cheap". Choose one that has the features and looks you like, etc.
Traditionally, turntables don't come with a cartridge or phono preamp. The Project and Rega you're looking at both come with a cartridge but
you'll need a phono preamp. In the vinyl days, every receiver had a phono input (a phono preamp built-in) but it's not as common now.
I'm pairing it with BW Formation Duos.
What do you have as a "control center"? i.e.,
You'll need a volume control and maybe a way to select audio sources and tone control, etc. Most commonly that would be a receiver but most receivers are made to work with passive speakers (preamp outputs* for your active speakers are a feature you'd have to look for). Or you could get a hi-fi preamp, which is more of a control center than a "preamp" but they usually have a phono preamp inside.
* A "preamp output" is a volume-controlled line-level output.