Bringing a coffee rig on trips with you is amazing. It transforms your hotel room mornings and lets you have a great cup of coffee without having to deal with awful lines at shitty hotel coffee places. It's also a nice way of inviting people over in the morning and having a chat: rarely do people turn down a fresh-brewed cup.
I've been asked about my rig a bunch of times, so here are some notes:
I like the Aeropress. It's a good size, makes great coffee, and travels easily. I know others that have a v60 in their kit. To me, that makes for a bulkier kit. I've seen a couple japanese collapsable pour-over setups before that look kind of amazing because they're so tiny, but generally I like the Aeropress: it's fast, easy, and cleans up super quickly.
If you're going to the trouble of brewing your own coffee, you should be grinding your beans on the spot, not bringing days-old grounds with you. The Porlex Mini Grinder actually fits inside the aeropress's tube, so your two main coffee needs are real compact, Russian nesting doll style.
If you are the kind of person who wants a scale, the American Weigh Scales pocket scale is great and comes with a little lid so the balance doesn't get fucked up in your bag. It's fairly small (about an inch or so thick), so doesn't add a lot to your kit size-wise.
8/10 times, you can rely on hotel rooms to have some kind of coffee brewing mechanism that you can use to heat water (even awful k-cup machines can be coaxed to produce hot water). However, 20% of the time hauling a rig and not being able to brew is too much, so I bring a Bonavita travel kettle with me. However, it's bigger than I'd like, and definitely stretches the size of your kit to being a little on the "too bulky" side of things. I know a few people that have those little inversion boilers However, because they're just an exposed heating element, you need something more than a paper cup so you'll be adding a steel camping mug or some other option to your rig.
I used to use a gallon ziplock to carry everything just for ease of questions at airport security (was never a problem until I added the kettle), but I know some folks that have a small enough setup that they get it into one of those nice canvas Klein Tools 5139 bags. If you're bringing a sizable amount of beans, you're not going to get it into a Klein bag tho.
What I use now is a packing cube that measures 11 x 6.75 x 3 inches. I got it as part of an Amazon Basics packing cube pack, but probably you can find a similar one sold separately at a Container Store or something like that. It's a great size and fits the kettle w/ Aeropress inside, the grinder, and a bag of beans all really nicely.
cleaning up: I started bringing a handkerchief in my rig this summer, and I feel a lot better about wiping up with that than the white hand towels of a hotel room. I'm sure I've given some housekeeping staffers a hell of a fright before (note: always tip your housekeeping folks).
keeping things tidy: those dimebag-sized "snack" ziplock bags are your best friend. You can store some aeropress filters in one, about 3 days worth of beans in another.