Part of the problem is I think I never realised the effort involved
I don't think you are alone in that. But fear not because at 10 weeks you are easily early enough to establish some great independant settling techniques.
after the 7pm feed she just drifts off after being in my arms for a while and then goes into a deep sleep ready to be put in her Moses basket
Putting baby down fully asleep is not a great idea. The idea is to get baby to go to sleep where they stay asleep.
Babies, like adults, sleep in cycles with periods of deep sleep interspersed with light sleeping phases. Some people cslked the light sleep phase an 'environment check'. Left over from caveman days, it's a brief period of semi-consciousness, but without fully waking, when casement would check they continue to be safe from predictors while sleeping.
In adults these environment checks may take the form of changing position in bed, pulling duvet off/on you, subconsciously glancing at the clock, then straight back to deep sleep.
Imagine you went to sleep as normal and when you went to roll over and pull the duvet over you, you suddenly realise you are in the back seat of a car. You wouldn't roll over and go back to sleep, you'd be fully awake pretty damn quick wondering wtf happened?!
Same with baby. It's why going to sleep where they stay asleep becomes important. When not doing this, baby is nore likely to wake fully in any environment check.
Some people overcome this in a no-cry way by feeding to sleep and leaving baby there to cosleep. A method that is more independant but still no cry would be dummy and in-cot reassurance.
A sidecar cot (normal cot with 1 side removed, wedged up to your bed) helps make this easier, but could also be done by leaning into the cot uf so inclined.
There are other ways that may involve some crying, but I wouldn't do any of these before 6 months.
without fail will wake between 3-4am. I feed her and she might doze on me but generally seems ready for the day
I can't think of any situation, with a baby of any age, where getting up for the day at anywhere close to 3-4am is normal or OK. So I think you are right to seek to change this.