Hi, I lived in Norman a long time ago and really liked it. It was so close to OKC and I had the best of "both worlds". You have a "small town" atmosphere in Norman but have the "big city" just around the corner.
Anyway, I owned a Child Care Center for several years and have over 10 years experience in that field. Those jumpers are among the most dangerous toys you can purchase, you can't even have one in a child care setting. They wear the door frame you hook them up on and eventually the frame will break, they are lots of fun for babies but damage their little joints and bones, and when they fall the baby goes flying. A play mat will be a thing of the past as soon as baby is able to scoot away. Also, you will have to continuously go get her and put her back on it. If you guys are talking about those seats that slightly recline and jiggle up and down when the baby moves then those can be pretty useful too but they do outgrow them very quickly.
On the other hand and exersaucer will confine the baby and if you get one that spins then she can turn and play with a variety of different areas. We are raising several of our grandkids and have the potential of getting 2 more, an infant and a toddler.
I won't lie, sometimes I need to do dishes or sweep and mop, or put up stuff like laundry and need the little ones entertained even if it's for just a few minutes. The excersaucers are my one thing I can't do without.