One thing you might do is join one of the spark teams for members with fibromyalgia. www.sparkpeople.com/myspark/groups_individ
I have a couple of spark buddies who have fibro and what they do for exercise does vary. Some days, they can exercise just like everyone else. no pain. Other days, it takes all their energy just to get out of bed.
Do what you can on days you do feel like you have a bit more energy. Learn to listen to your body. If you can exercise for 10 minutes, that's okay. No one says you have to exercise for 30-60 minutes at a time. You can break your workouts up into shorter segments and still get all the benefits. So, why not try taking a 10 minute walk three times a day ? If you can only walk for 10 minutes, that's where you start.
With time and regular practice, your strength and endurance will increase. For now, you really go day by day and do what you can.
As far as strength training, consider buying a set of resistance bands. Resistance bands are an extremely versatile way to strength train. And I highly recommend joining the SARGE's resistance band spark team. He's got a bunch of beginner workouts posted that you could try. www.sparkpeople.com/myspark/groups_individ
You can also try some of Coach Nicole's workouts posted in the fitness section. Most are only 10-15mins. Try a couple and see how you do.