We bought this one from Amazon.
There is a video which shows most options.
I don't know the names of all of the exercises but this does every arm one you can think of and does legs too.
You can sit in front and do a rowing motion too.
I also bought a tricep pull down rope thing for the back of the arms. You can clip it on the pull down cable.
We bought the basic one because we didn't want the punch bag etc. I think there are about 4 versions.
It is very good quality but does come flat packed. Fitting the cables was a bit head scratching.
Free weights and bands are good.
I also have an Olympic bar with extra weights that I love. We got the combined bench press and squat rack but you don't need to buy that straight away.
I usually warm up on the rowing machine first.
We bought the multi gym during covid so it too months to come and kept getting delayed but it was worth it.
The reviews say that you can't do large weights but I will never reach the limit. My husband also uses it and does not find it limiting but then again he is not a massive meat head. I don't know how strong people in your home are but we are not trying to get ridiculously ripped, just toned.
We have converted a double garage and have other things and put in interlocking rubber floor mat. All in all it was quite expensive in total but we have cancelled two gym memberships and we both use it 2 to 4 times a week so, in a couple of years we will get our money's worth.
It looks and feels like a proper gym so we do use it regularly.
Lots of people also sell gym equipment on Facebook marketplace so that is a good place to start. We got the Olympic bar, weights and running machine from Facebook marketplace.
Good luck.