@Jstx: what smartphone/tablet models and what software are you using on your devices? Aren't you afraid of LCD burn-in? Has it ever happened to your devices?
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Almost any Android model will work, I'll assume that Apples will too (I avoid Apple stuff, just can't ever justify the price differential for a few extra features and the 'status').
Specifically, at this time I'm using a Samsung III (ex's old phone, waiting to get her Samsung V next when she upgrades, heheh), a couple of obsoleted BLU phones; and for the tablets, a couple of AT&T 9020's (IIRC), and an RCA model (all bought at ~$40-50/each). Their screens are adequate, there are of course much better ones available if one has an old one or wants to spend the extra money.
Sometimes a smartphone I'm using as a display-terminal will develop a battery problem or whatever, just swap it out with one of several old ones in a drawer. After all, these phones are on their second lives, being recycled for a good purpose rather than just junked.
Haven't noticed any 'burn in', wouldn't care anyway.
The software I'm using, as I stated, isn't for a weather app at this time. I'm using an app for a home surveillance system, Panasonic's "Home Network", a now obsolete, but very competent home monitoring, alarm system and app (has both Android and Apple versions).
These screens, and the Panasonic hub unit, run off of an AT&T GSM Homebase router-gateway on an additional mobile line/number/SIM in home. I run a second, remote (in a marina) Panasonic system on my sailboat for monitoring, geotracking, and alarms (one camera is on the electrical panel, so I can look at the boat's power status anytime-- this substitutes for what would otherwise be a very complicated telemetry system).
The app and systems also allow remote, on-the-move, access via personal smartphone too of course.
And, as I'm going to reply to another on this thread, one of these devices could be made to also "cast" its' display to a TV set for a 'big picture' (I think, if it has enough 'radio' to do both wifi and casting?).
I know I can get my PC, running a weather app, to 'cast' a display ('console') to either the TV or one of these devices.