TP-Link AC750 Wireless Portable Nano Travel Router(TL-WR902AC) - Support Multiple Modes, WiFi Router/Hotspot/Bridge/Range Extender/Access Point/Client Modes, Dual Band WiFi, 1 USB 2.0 Port https://www.amazon.com/dp/B01N5RCZQH/ref=cm_sw_r_cp_api_glt_i_7M4DZHS9VZE08Z43HE0T

It’s AC750 so if you have higher speed requirements, you may want to keep looking but this one is small, powered off of USB and has client mode.

There’s a lot going on here but my simple recommendation is to get a travel router that can join the hotel WiFi and then rebroadcast to your other devices. This is generally helpful if there is a webpage you have to click through when joining the WiFi (captive portal)

TP-Link AC750 Wireless Portable Nano Travel Router(TL-WR902AC) - Support Multiple Modes, WiFi Router/Hotspot/Bridge/Range Extender/Access Point/Client Modes, Dual Band WiFi, 1 USB 2.0 Port https://www.amazon.com/dp/B01N5RCZQH/ref=cm_sw_r_cp_api_glt_fabc_Y7R853A46DB3PJ5REAN3?_encoding=UTF8&psc=1

You're welcome. Note sure where you're located but if you're in the US, here's the Amazon link.

TP-Link AC750 Wireless Portable Nano Travel Router(TL-WR902AC) - Support Multiple Modes, WiFi Router/Hotspot/Bridge/Range Extender/Access Point/Client Modes, Dual Band WiFi, 1 USB 2.0 Port https://www.amazon.com/dp/B01N5RCZQH/ref=cm_sw_r_apan_i_RNF5Q5T1T5KR2EE8MWZQ

Phase A

• This is a good and natural place to start, but you can skip right to phase B if you're confident.
• 300mm will give you plenty of good widefield targets to look at. To get a sense of what's possible, check out the top photos on /r/astrophotography and then visualize how they will frame with your setup with the fov calculator here https://astronomy.tools/calculators/field_of_view/
• You will want a star tracker, though. The limited exposure time and difficulty stacking untracked photos will just add frustration. I would add a SkyGuider Pro to that list.
• Download Stellarium and that will help you visualize what you can shoot and where it is in the sky before you head outside

Phase B

• EQ6-r pro is a great mount and will give you capacity to upgrade. You will eventually want to belt mod it, and I might suggest doing that now vs. fighting with guiding performance. This is not a premium mount - you could skip to something like a cem70 if you have the $$$
• Yes, you will need a T adapter to connect it to your camera.
• You will want a field flattener with that scope, but you won't need a coma corrector.
• As someone else suggested, instead of getting clip-in filters I'd get a filter drawer and buy the 2" versions. In the future you can use those in a wheel and with a dedicated astro camera.
• An l-extreme will surely upgrade your photos, but before you go that route I'd shoot without a filter and get good at taking calibration frames.
• You will need to think about how you'll control and power your setup.
  • The options for control are generally a) laptop next to mount b) minipc at the mount c) ASIair. IMO the ASIAir will be the smoothest option and limit frustration, but many will disagree.
    • If you get the ASIAir, the wifi range will be limited, so get a cheap travel wifi router/extender as well. this one works great https://www.amazon.com/TP-Link-Wireless-Travel-Router-TL-WR902AC/dp/B01N5RCZQH/ref=sr_1_3?crid=1HOKDQL74TGBR&keywords=travel+wifi+router&qid=1641837249&sprefix=travel+wifi+route%2Caps%2C72&sr=8-3
  • For power, if you can get an extension cord to your rig then you'll need power adapters for the mount (comes with it), the computer and the peripherals.
• Get a dew heater strip because dew will form on the scope. The USB ones on amazon should be fine at first.
• Get a good hex wrench set (metric). And probably a stash of m45 bolts and nuts.
• Your first time putting all this together, do it inside and be meticulous about cable management. Your scope is going to be moving all over the place, and you don't want anything that can wobble or snag.
• Guiding is an upgrade you can perhaps postpone with an 80mm refractor