Let's clear up what engine is under the hood for starters. If it's the LT/LTZ/Eco, it has the 1.4 turbo Ecotec. If it's the LS, it has the 1.8 naturally aspirated Ecotec.
Next, adding 150 hp is pretty darned impractical. Well, unless you have a large fortune and want to make it into a small fortune. The easiest way to add 150 hp to a Cruze is to sell it and get a Verano Turbo. Same platform, much nicer digs inside, and 260 hp under the hood.
If you have the 1.4 and want to make more power, there's no cheap way to do it. The cheapest is a tune. Anything after that, start hoping you hit the lottery since it's going to cost bookoo bucks. With what you can spend on a Cruze's 1.4T to make 200 whp, you could have just purchased the Verano Turbo, had 60 more ponies to start, and still have enough left over for a tank of gas or five. And once that Verano Turbo gets a tune for 300 hp, you're still in the weeds.
Cruzes aren't quick cars. They'll get out of their own way plenty fine, and that's about it. Oh, they'll also get very good to excellent fuel economy.