Summer

If you are in Armenia during the summer, you have to be very creative to find good, fun and safe entertainment for your kids. The challenge was bigger a couple of years ago when even the basic necessities (baby food, milk, diapers...) were hard to find and activity centers for kids was almost non-existent.
Today you still find some good choices:

Public park: In Yerevan, there is a couple of nice spots, but if you are looking for nice well equipped and safe playground, that would be real hard. Most of the parks have nice green areas, colorful benches but rarely a playground for kids. Some of the parks have old soviet iron playground not very safe for small kids. The other disadvantage is that most of the public parks don't have bathrooms and that could cause a problem for newly potty trained kids and older ones.
In general, kids in Yerevan need more playground public safe spaces, something that no one is investing in right now.

the parks tested by my kids (4, 7, 9 yrs old):

The italian park (near the Sundukyan theater): very nice, shady, lots of trees and green spaces and cool water fountain in the middle. Kids play with sand near the fountain and you can sit near them on a nice bench reading a book and enjoying the breeze.
disadvantage: no toilet (unless you go to the nearest cafe or ask the theater), no playground-slides, swings, you need to bring your own toys.

The park near Poplovok: This is a very small park near the famous cafe Poplovok, and surrounded with many other cafes and is usually very crowded after 6pm. Here you have some playground equipments (not very safe) you have to be near if your child is too small. Slide, Climber and a swing. The interesting thing is that the park has a craft area where children from 3and up can buy their little ceramic statues and paint them. This is not expensive and usually children enjoy it a lot.
disadvantage: the slide is a little broken, you need to be careful. No toilet, unless you go to Poplovok.

The park on Khandjian (near swiss chalet): We went once to this park and did not like it. from far it looks so nice and colorful but once you approach it you see how badly maintained it is. The slide has a big hole in the middle, someone can cut itself if not careful. The swings are not attached very well and the park was very dirty with bottles on the floor and also too noisy (near a big street).

(to be continued)