The HP OfficeJet Pro 8035e All-in-One Printer printer apparently supports AirPrint, which means no vendor drivers are needed. AirPrint can be used wirelessly, and also when the printer is connected via wired Ethernet.
Here is how to: Print wirelessly from your Mac to your printer - Apple Support
There is a firmware update for that printer, from last month. (Link) You will want to apply that firmware update, if not already loaded.
To load the new firmware, connect to the embedded webserver within the printer, and perform the update there.
See page 29 in the manual: https://h10032.www1.hp.com/ctg/Manual/c06291142.pdf
Whatever printer you select, you will want one with AirPrint support, and preferably also IPP/IPPS printing support. Some other considerations: Which Printer Should I Buy? - Apple Community
The last HP printer rolled out of here a while back. Brother is (also) locally preferred.