Before cell phones, I owned a telephone answering service. It was all computerized and I had to be reachable at all times, so I carried with me a beeper, then a pager and one of the first types of portable phones - it seemed like it was about a 50 pound suitcase...!
After I sold the business, I got rid of everything. The only phone in my house was an antique candlestick type, from the 1930s. It was a nice change!
Now, I've succumbed to modern life again, to a degree; I have a cell phone that's usually shut off and an answering machine, but that's it. The being connected 24/7 is an unhealthy addiction as far as I'm concerned.
What I could not do without now is my Internet! My whole life is in my computer. I'm listening to Celtic Radio as I type this, and I was just doing some genealogy research via websites, adding information to my database.
Keeping and organizing digital photos, documents of all kinds, and even some shopping; it's all made easy and possible with my computer. I still eat dinner in candle light and my television may only be turned on for 20 minutes a week, but my computer is my life!