Some terminology basics might help you understand what does what.
Watts measures power flow, but time is critical. So a 100 watt hour battery will run 100 watts for 60 minutes, or 1000 watts for 6 minutes.
Your 100W solar panel maxes out at about 8 amps and can fill that battery in about 12 hours under laboratory perfect conditions. 2-3 times that of summer noon sun is more likely. But that makes at least a week for a 700AH battery.
The Bluetti 700 is almost 3 times the size of the 250, so that's a big step forward. The solar panel can add its power, like always, to either. If that's enough for you then you'll have more in reserve. You should also be able to top up either battery with the generator.
I charge all my gear from my trailer batteries, and charge them with my generator and a similar small panel. If either the Jackery or Bluetti are convenient then use whichever is easiest.
2019 Grand Design Reflection 150 273MK,
2015 Ford F350 CC SB Lariat Powerstroke, PullRite Superglide