+1 on the advice on curbing boilovers and on sanitation.
I don't know your kit and if it has steeping grains, but if it does, one thing that cuts a good bit of time from my process is to steep in other than my main brew pot.
As an example, in my particular case, I have a 20 quart brew pot and typically boil 2.5 gallons of water, topping off in the fermenter.
If I use steeping grains, I'll place 2 quarts of water in a smaller pot or saucepan, steep the grains in that, while bringing 2 gallons of water to a boil in my main brew pot. When I'm done steeping, I add the steep water to the main brewpot and bring to a boil before adding the extract and hops as normal.
This process is a lot faster than steeping in the full volume of water, then trying to bring that full volume of water up to a boil afterward.
Cooling your wort as fast as you can is good too, but don't fret it if you don't! The only real difference it makes is in clarity of the finished product, not taste.
I happen to have a metal tub I use for a water bath. What has worked for me is cooling the kettle in the tub with just plain water first, pulling of the 'worst' of the heat. Then when the bath water gets good and warm, I'll dump it, refill it, and then add the ice and put my pot in the kettle again.
And don't worry if it doesn't go perfectly! I'm a new brewer myself, and have made mistakes, but still got very tasty beer in the end despite them.
Cheers!