The equipment you use to demo can make a massive difference in quality of your session. Here are some of the things I'd suggest to use to make your demo memorable. With remote demos being the main thing, you have to consider a few more "essentials"
Remote:
Computer
- Use what your company gives you, but ideally something that has good processor and memory to run your sharing software, your actual demo, and anything else you need like PowerPoint comfortably. If you're recording video or audio at the same time this will add an overhead. Ideally still the machine you would travel with, but maybe it is time to consider a dedicated home office computer to use for demos?
Screens 
- I recommend having at least 2 screens. However if you use a massive 4K screen (or bigger), you should be very careful how you use screen sharing in your presentation. Zoom and other programs will capture the picture and scale it back down to an low resolution video with less frames per second than you expect. Ideally you should only send as much video as the end resolution will be. You can mitigate this by sharing just a window. Keep everything you don't want your customer seeing off the screen you present from.
Keyboard 
- I like a good quality keyboard, but remember they can be noisy. So if you have a loud keyboard, you need a good microphone that stays close to your mouth. Don't be that person typing loudly without using mute. I do use a nice gaming one - Logitech make a lot of these. 
Microphone & Headset 
- I tend to use a combined microphone/headset that connects by USB to the computer. This has better sound transmission than a Bluetooth headset, and is more reliable. Look into quality headsets because your voice and your ears are really your best assets in a session. Some recording specialists might prefer a high end microphone that is standalone and mounted, which might make your voice even easier to hear. Just watch out for ambient noises. I use a Jabra Evolve headset and find it does a good job for voice and listening.
Mouse 
- I use a good quality mouse connected by USB. Mine can do Bluetooth as well, but I prefer it connected by USB as it doesn't run out of power and has a more reliable connection. I use the Logitech MX.
Chair 
- If you spend a lot of time sitting - make sure you have a good quality chair that is made for office/computing work. Getting a sore back whilst working is not good, and not worth it. Use at least a good office chair, but since it is probably part of your home environment, buy something that will last and keep you fit and active.
Background - I've seen some awesome virtual backgrounds that help focus people on your face or give a clean corporate image. These are good, I'd use them over anything distracting or unprofessional. I do like just having a tidy wall behind me with maybe a picture or two that again focuses on your company and professional environment. If you can have a real background that adds to your brand/image, this is the best.
Pointer - I'm a big fan of the Logitech Spotlight
device, and use it to focus attention on a part of the screen. If you practice using something like this, you can use it remotely, but again make sure you've practiced it and use at the right time. Other presenter devices exist...
Props - whiteboards, books, flipcharts, posters, etc. If these things add to your presentation and you actively use them, I think they are good. If they are a distraction or take away, then I would leave them out, or only bring them into sight when needed. If you have mounts on the wall or stands for these things, that is great, you could bring out the correct prop for the right session.
In person:
I want my things I take to a room less distracting to the customer, so I am a bit minimalistic here. Anything that takes away from the demo, is something I try to avoid.
Computer - bring your laptop or ipad or whatever you're presenting from. Don't forget it!
Mouse - I like to use an external mouse, as you'll be smoother and better. You'll probably use it with Bluetooth, but have a cable in your bag in case.
Headset - bring your headset, as there still might be remote participants and you might need to block out sound.
Pointer - I bring mine, and use it to focus a part of the screen. It is also good to let you move around the room and advance the slides wherever you are.
Props - I like bringing something tangible to pass around the room, like a report, laminated posters, a flipchart, or whiteboard markers. Have something to get people to look at you, and that you can point to and use to further your presentation. If it is something you can give people or leave behind even better.