Hi L..
I, too, have b/g twins who are 2 years. I had both of mine off the bottle just before they turned one. I think the real trick here is to not waiver. Do it cold turkey and don't give in to the crying. I don't remember mine crying much. It seems we worked on the sippy cup a couple weeks before the transition. Once we were able to master the sippy cup for meals, I took the bottle away completely.
As far as playtime, if it's not freezing, let them play outside. Bundle them up in coats, hats, and gloves and let them play for 15 minutes or so. The cold, outdoor air will be good for them and it seems like mine get tired more easily. We play outside everyday if it's not freezing or pouring down rain. When it's raining softly, we've been known to go out and run and dance in the rain. Running and dancing with my mom in the rain is one of my fondest memories as a child and guess what! I survived it! LOL. Playing in the cold air or dancing in the rain will NOT make a child ill. We, as a family, love being outside and the cold weather is no exception.
For inside, now is a good time to try working on coloring or easy puzzles. The earlier you start, the better. Now, mind you, their attention span is very short and it's not easy to corral 2 13 month olds for creative time, but begin with short intervals, say 2-5 minutes and work it up. You'll be amazed at how they will enjoy this. We have bins of stamps, WASHABLE markers and crayons, along with coloring books and paper. I like to shop the seasonal's at Hobby Lobby at the end of the season clearance and buy up the self adhesive crafts. They really enjoy creating and, although we began this with my direct supervision and help, they now do it on their own with limited supervision. I'm not saying it doesn't get messy!
L., you may not be a believer in baby gates, but now is the time to start! If you set limits for your children, they will limit themselves. If you give them reign over the house, they wil take it as their own. Children work best with discipline and schedules (as do their parents) and baby gates are a great asset to a family. FInd a place and make it theirs. I have a playroom that has a child size table for their art projects and their toys are all in this room. I do not lock them in there all day long, but do designate a time for them to be confined. You'll be amazed at what they will do in their space. We also have a TV and DVD in their playroom for movie time. Your's are a little young for movies but they will enjoy Little Einsteins, or Barney "shorts". My little boy loves cars and has since early on. My girl has her special babies. Stock your room or area with their toys and let them create their own play. Storytime is difficult with two but give them a stuffed animal to hold while you read to them. I always felt guilty during storytime because I couldn't hold them both at the same time while manuevering the book. The stuffed bears gave them something to cuddle with while I read.
Twins are fun and we are so blessed but it is different when there are two. Being an older Mom, (I'm 40), I didn't know where I'd find the energy but I think my twins energize me! It's definite'y been a learning process. My 3 year old was easy because it was just one. There are only 18 months between the three and it is very busy at my house! I learn new things every day and I find myself seaching for new things for them to do. If you can think it, you can do it!
Have fun! It goes so fast!