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I bought such a thing... HDMI external small monitor, trivial to carry, battery powered or AC adaptor.
One of these: https://www.lilliputdirect.com/lilliput-339-high-definition-field-monitor a Lilliput 339
£130, and good enough for connecting to Raspberry Pi's, rack servers, switches, and other such things.
It's resolution is 1280 x 800, which at 7" of screen is pretty high and thus you do get a full desktop in a small screen.
I also threw in this monitor stand so that it can be freestanding (or I'll bend the stand to balance it in an empty 1u, etc.) https://lilliputdirect.com/vesa_75_stand
What you're looking for is called a "Field monitor".
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Check that your server supports 'lights out management' / 'out of band management' or if it can be enabled or added with a hardware module.
If it does, like my HPE Microservers, you can do everything (control power, view startup info, manage BIOS) from a remote machine and don't need a monitor at all.
If it doesn't, the cheapest solution is to plug in a desktop monitor you already own. The next cheapest is to get the crappiest second hand monitor you can find or scrounge.
Specialised kit is much more expensive.
Any recommendations for a portable monitor? HDMI, not USB. Preferably powered by either USB or with a battery. A reasonable resolution but doesn't have to be HD. Not really fussed about accurate colour or sharp picture.
Really just want it to occasionally to plug into my server when I want to change BIOS settings or need to troubleshoot something so the cheaper the better.