When I got my cat at approx 6 weeks old, come 7pm in the evening it became her "bedtime routine". A energetic playtime for about 15 mins to wear her out, then wet food and water put down, check litter tray was clean, insert cat carrier into the large dog pen crate, put puppy pad inside the carrier or check clean one, another puppy pad over the top of the carrier, add toys to large crate, close over the mesh cover on the large pen and radio on low to keep her company overnight and ignore totally after.
Come 7am, she got attention again and the first night she cried most of the night, after a night or 2 she realised she had food, water, toilet, music, somewhere quiet to sleep and that I was coming to her at 7am. more food and lots of cuddles and attention.
Now 3 years later, she doesnt disturb me until after 6.30am or will only before in extreme circumstances, less than 2 months ago she cried most of the night and couldnt be comforted, quick trip to vet revealed mastitis which was causing her pain. She now sleeps on the end of my bed. She still has access to tray, wet / dry food and water and toys. she knows to play quietly and attention comes at 7am with food, cuddles and play.
Waking you - I would go for the spray water bottle as she went thru a stage of trying to hump my leg during the night after spaying, (it was months after) and all I had to do in the end was show her the bottle, it doesnt hurt them
Yes to kitten climbing legs, this is a phase and will pass as they get bigger, during the kitten stage my legs were covered in little nail marks and also my back and shoulders. aka Needle Nails as they are so sharp at that point in time