I'd have concerns about security with all these Chinese makes like Hikvision and others, including EUFY, and especially if a brand name is unknown. You simply don't know where the feed ends up and how it's used later.
Although not perfect (firmware sometimes broken etc), Arlo is a good solution. Their Ultra and Ultra 2 can record locally (to an SD card), as well as some previous models like Pro 3. I believe that their video doorbell has this option now, too, while the audio doorbell that they once offered records to the cloud for free, plus it's very small, unlike many video doorbells out there. A secure VPN connection to your network then allows access to local recordings remotely, if you don't want to pay for cloud storage.
Although Arlo has recently introduced an end to, but then backtracked from it in relation to, their free 7 cloud storage for older models (see the press coverage), Arlo Pro 2, probably available on eBay as many now are getting rid of it because of what Arlo had said they'd do, is still an option to be considered.
I have an experience of using Arlo HD (original Netgear product), Pro 2 and Ultra, and all ultimately are very good in deterring as well as serving as a proof for acts of criminality, not to mention an opportunity to admire nightlife (foxes, cats, bats, deer etc), or catching a neighbour filling your bin with their stuff.
For a monthly fee, there's all sorts of extras like package detection etc., though this is not available for all cameras.
Arlo's doorbells work in the same way.