I use the Tongxin motors a lot and the smaller Goldant ones in my Brompton/Dahon.
I commute 5.25 miles each way using a 2.3Ah battery weighing only 1kg and charge at work.
I also have a 2kg, 6Ah battery which will do two round trips before charging.
I would say the the lighter Goldant motor really is a light assist only. No powering up hills and really should be used in conjunction with effort. Both motors should only be engaged once the bike is moving i.e. no standing starts. The Tongxin is a better hill climber but again should be used in conjunction with effort.
Battery the two on the left are the 6Ah and 2.3Ah one the 1.1Ah one on the right is really not much good for more than a few miles.
The two motors Goldant 1.4kg "very small" and the slightly larger 2kg Tongxin side by side.
Given what you have told us if it was me I would use the Tongxin and at least the 6Ah battery. They do a
bottle 9Ah battery which is only 2.8kgs if you don't fancy making one yourself.
Jerry