You're going to find that any playpen for a 1 year old is fighting a losing battle. Hopefully, someone will have a good recmmendation for a structure that will help you, but I wanted to point out how temporary a pen/playyard solution will be for an active 1 year old. Their interest and activity level at this age will take off, and soon, no play yard will be big enough or sturdy enough. I give it 3 months at the most. At 1, your baby's large motor skills are rapidly developing and it seems like the 1-2 year time is when they learn so much about the world around them. A 1 year old needs to run, lift, shake, jump, throw, explore!
I recommend taking this opportunity to REALLY child proof your home. Child proof everything up to about the 3 feet level. Sure, get a baby gate for stairs, and a small area where you put your breakables, but otherwise, your child is going to need some area to explore. Isolate the things that are dangerous or breakable. Get outlet covers, get rid of things he can pull down, things he can "get into". Provide 1 drawer in the kitchen that is just his to explore with play kitchen things that he can get into. Offer some good active toys that he can lift, ride, throw. Find a lot of alternatives in the yard or local park, library, etc. where he can really run, and develop those large motor skills, and you may find you can opt for quieter, small area activities at home.
Just wanted to offer a different point of view...
ETA: One other thing - at this age, we bought the book "Toddler Busy Book" and it offered a lot of activities that helped fill up time, especially with a running 1 year old. This help us define an activity zone for messes, and activity zone for specific toys, etc. Defining these zones helped us give him an activity to do in one area while I did something else. We never had to gate the kids in to keep them safe or contained.