Need some advice on job switching

Im a flutter developer with 3+ years of salary and i want to switch my job but the main problem is my notice period which is 2 months and because of that most of the company are rejecting my application. I want an advice from you guys, shall i give resignation on my current company and do preparation for 1 month then start searching for a job or stay in my current company and look for a job? Im really confused here there is no mentor to whom i asked this. FYI im switching the job because my salary is too low and there is no appraisal for 1 year. Any advice would be appreciated thank you.