Welcome to B&B, Don.
I have been a daily shaver since getting an electric razor on my 13th birthday. I switched to disposables a decade later, carts a decade after that and DE not quite 15 years after that. My face survived all of that.
You will find that using soaps with moisturizers, as most shaving soaps do, will be better for your skin than spraying it with canned foams and gels. Even if you don't stick with the DE razor I would recommend that you stick with the mug, brush and soap for shaving. Using the real soap is just that good of an experience.
I usually recommend that new guys start with the mug, brush and soap for a week or two before getting out the DE razor, assuming they aren't currently using an electric. That gives you some time to learn your lathering and discover any allergies before introducing a razor that has it's own learning curve associated with it. Conversely you can use the DE with canned goo to get your shaving technique down before learning to lather, but I believe going with the soap first gets the most gain for the least effort.
The DE razor should decrease the number of ingrown hairs and razor bumps that you incur. It's just the difference in the way the razors cut:
A DE depends on a sharp blade chopping or slicing through the whiskers on each pass.
The twin-blade carts depend on the first not so sharp blade not cutting through but simply snagging into your whisker and tensioning it. The next not so sharp blade will have an easy time chopping through the straining hair. Your whisker then supposedly snaps back into place having been cut off below what is now skin level. This make it not uncommon for the hair to grow out at an angle, thus causing an ingrown hair.
I don't know what 1-3 additional blades are good for other than abrading your skin and causing razor burn, especially if you try multiple passes with them to get those trouble spots...