You pretty much have time for whatever you make time for (I hope that makes sense ?).
You can overlap some things to become more efficient, like running small errands on the bike, or commuting.
You can carve out time from a part of the day used for something else. At least one person I know of here gets up at 4:30am to go riding. Another variation is to just turn off the TV and devote those hours to riding, for most folks these would be evening hours.
You can reduce the amount of time spent driving by making a conscious effort to avoid traveling more than a short distance from home to purchase things. This means opting for the local shops vs. the *.mart at the edge of town. This turns these errands into bikeable trips.
If you have kids that are old enough, stop doing the job of chauffer. Put the kids on bikes or tell them to walk. Make them responsible for their own transportation.
Examine your schedule to see what is really necessary. Most people IMHO lead overscheduled lives. Dump some of those activities that are less important to you. This creates free time to be used for more important tasks.
Dan