So, from what I understand that there will be no effect on the engine except the performance. But what do you recommend me to do with my stock carbs as long I switched from recreation to racing?
Bigger carbs will make more power especially in racing. If you want to be competitive, upgrade to the most power you class allows that you can afford. If you are racing for fun, then 38s are acceptable and you decide the carbs based on your budget.
You probably have to rbe jet anytime you make any significant changes to your setup. Ask the builder who bored out your engine what specs they suggest. They are your best source for what size carbs to use as well. If it's a homebrew bore and port, then you need to do some research on what similar motor setups are using and proceeding with caution. Jetmaniac can probably tell you what he jets he motors and if you take his time to ask such questions then you should repay that advice by buying the parts you need from him.