My experience:
I've been mortaged (15 years), then rented (7 years, 2 different properties), now mortgaged again (forever home).
Renting seems stress free at first after mortgageing for years.
First rental property:
Me: ''Oh i just ring the agent, a plumber (or whatever) turns up and goes away again and i don't have to pay. Yay! The whole house is spotless and pale cream, i can live with that, the agent is really nice, just sticks her nose in every 6 months and goes away again. The rent is affordable - i'm happy. Feels like home'' :) All good for 5 years.
One evening the landlord rings. He's selling 
Panic.
Got 3 kids at village school. We need x bedrooms. We need to pay similar amount per month. We need a garage (DH is builder). We need to be on a bus route for the older kids (rural). We need one which allows pets (cat). We need a garden. A little shop within walking distance for a pint of milk. We need parking for 3 vehicles. We have 3 months to get out. That's find somewhere, apply, be accepted, orgainise the move and be gone. 3 months - from one sudden phone call at 8pm. It's not our bloody home at all and it never was :( I feel stupid and upset and so worried.
We find somewhere and we're in it within the time by two weeks. The most stressful time of my life! We have the bedrooms and the garden. We have the bus route for the older ones. We have the garage. We have the parking space. There's a village shop (open about an hour a day, but still ...) The landlord allows the cat. However I have to drive youngest to school and back every day. The place has damp problems. The village is quiet as a grave. Nothing for the kids. My mates are miles away. Nearest doctor is half an hours drive away. No central heating. The shower keeps dying and the landlord is funny about fixing stuff. He likes a lot of inspections. Regular threats about the rent being too low. Wont allow decorating. The damp problems get worse. I have a baby! I can't decorate her room. No nursery or school nearby. It does not feel like home. No rental ever will now. I can't sleep.
The damp gets worse. Landlord does fuck all. We want out.
Now we're buying. We're financially struggling but we chose where to live. The kids can get where they need to get. The new baby (now 6 already) goes to the little school across the road. We're building the bedrooms and we have the drive and the garage and a co op and i can have as many darn cats as i like and repaint the house every week if i want and we can stay here till we both die if we fancy it. No one is going to make us move ever again. We've turned it into a bloody great building site - but it's our bloody great building site for as long as we want it. Even though it costs more than the rent, it's worth it. We are both sleeping again.
Renting IS paying someone else's mortgage and if you have a choice don't do it. I'm sorry for anyone stuck in the rental trap. Genuinely.