Welcome to B&B!
I have shaved with electrics for years and would still choose it over a multibladed cart razor but both gave me bumps every now an then. Even though with my current knowledge of my face and prep I might actually be able to shave with multiblades, I just won't.
Considering it takes 1,5 days for your whiskers to show after an electric shave, I guess your growth is quite mild. You could start with a very mild razor take your time to master it.
The other way to get started is stick with your cartridge razor for now and work on your prep first. Good quality cream/soap and a brush does not need to break the bank. With good lather, less pressure and a gentle multipass shave, I think you would be amazed about the difference. When you have the lathering sorted, dive into the world of safety razors.
If DE/SE razors intimidate you, you can also enjoy the virtues of shaving with a single blade with the Gillette Guard. This razor is not intended for the western market but is available at westcoastshaving. It's what I use for travel and gives me an irritation free shave.
Joris (not the razor). If you consider it as a hobby, you shave for free.