If you are going with lead acid batteries and already have a generator a small solar system is a big plus due the nature of lead acid charging. This will help extend the life of your batteries and justify the cost. It is worthwhile to plan out your system as much as possible and buy accordingly.
The tradition two golf cart battery basic system is very capable, but I’ve done with less than half that for ten years, including running my compressor fridge in sunlight only.
Figuring out your likely needs is an important part of planning.
The all in one power station ‘generators’ are a good option for smaller systems - due the charging dynamics of these batteries you could fully charge one while running the generator for your peak loads. I wouldn’t go over around 500wh as the value drops.
Do be considerate of others when choosing a spot and time to run. The noise may carry farther than you think - walk around while generating to get a good sense of this.