You can connect a portable generator to your home by plugging in each appliance individually or using a transfer switch to power a circuit panel. You should never connect a portable generator directly to the electrical panel; instead, run it through a transfer switch. Yes, hiring an electrician to connect a backup generator to your home is recommended. The only exception is if you are an expert at working on your home's electrical system.
An electrician can advise you on selecting the transfer switch, installing the transfer switch safely and ensuring a proper connection to the electrical panel. Yes, according to the specifications that I have been able to find on your panels, both should work with your power plant. You can use the included Mc4 to Anderson adapter to connect one of them. The maximum amperage is 5 A, so I don't recommend trying to connect both at the same time, since a 100 W and 12 V panel produces between 5 and 6 A.
I have a Coleman 300 W power plant and the solar input socket says 19 V, would I need a 300 W panel to charge it? Power plants stand out for being a tidy package, so it would be a shame if that were hindered by the lack of one more integrated power outlet. Hello, I have an old, unused Honeywell power station, which I think is now called Homeyears, model ES-500, 500W. I think that the Bluetti 200W includes an MC4 adapter to 8 mm, so it should be connected directly to the Oupes power plant. Battery-based devices quickly become heavy when capacity is increased in watt-hours, and no power plant can circumvent that rule of lithium-ion battery physics.
This 778-watt-hour Anker power station is compact, but it has a large number of electrical outlets, from various types of USB to 12-volt household outlets for cars. If you can connect to the exact power plant you have, I can search for it. I found a couple of different ones when I searched for Lion Energy Safari. To help you get through the jungle of solar panels, I've started writing publications about all the brands of power plants that exist and how you can connect solar panels to them.
Make sure that the panel you buy does not have a solar charge controller, since Anker power plants have one built-in. Power plants that provide true sine wave energy are the best approximated to commercial utility power and can power sensitive electronic devices with what they want to work properly. Automatic transfer switches detect a power outage and transfer power from the generator to the household electrical circuit without manual intervention.