I am considering using Kuala Lumpur as a "home base" using the "3-month visa free" for EU citizens. I plan to fly into Kuala Lumpur with an exit ticket to my native country in Europe.

Would I be able to leave Malaysia to various countries such as Singapore, Taiwan, Korea, Hong Kong and Australia and possibly after each country return to Malaysia all within the 3-month window with no problems at immigration each time? I'd rather not be accused of constant visa runs if I have paid for accommodation for three months in Malaysia.

Thanks