The remote is gross
What is touched by everyone but rarely cleaned? A quick swipe with some baby wipes or a damp (not wet) hand towel should help a bit.
Be skeptical of drinking glasses, especially if the hotel lacks a restaurant
Generally, drinking glasses are cleaned after every guest. Generally. If there’s no on-site restaurant, though, how are they cleaned? By hand presumably, but how well? Give them a rinse and a sniff, at least.
Don’t put your luggage on the bed
Bed bugs are gross little vampires. Like mosquitoes, but worse. Putting your luggage on the bed can give them a free ride to your next location … like your house. The luggage rack might not be a good option either, since it’s usually close to the bed. Your best bet is to put your luggage in the bathroom and then give the bed, rack, and chair/sofa a close look. Also, don’t assume that just because hotel is super posh it won’t have bed bugs. They might have more means to get rid of the problem, but it can happen anywhere.
Long cables for your phone, or a travel power strip
As the number of devices needing to charge increases, the number of outlets available in hotel rooms … stays the same. I’ve stayed in new hotels with zero easily-accessible plugs. Bring plug adapters and extension cords!