A lot of guys go out to a max bore of .035 over, which would give you a 4.000 bore, and then have custom pistons made...The reason being is there is a lot greater choice of piston rings in that size, due to it being the same bore as a Chevy...
Before you ask, NO, you cannot use Chevy pistons if you do bore it to 4.000...You still need to have custom pistons made...But you will save a little money on the piston rings because of the cheaper price, more selection and greater availability of the Chevy sized piston ring...
Also, you will find that a cam like a 212/212 or a 218/218 which is almost too big for the 3.8L will really wake up the 4.1L because of more cubic inches in the 4.1L...Also keep in mind that since the motor is about 10% bigger, you will need to use at least 50# injs or bigger and you will also need a bigger turbo than what you would think...